Torsion group G | |G| | Parameterizing variety |
---|---|---|
Z/20Z | 20 | P2 |
Z/21Z | 21 | P2 |
Z/3Z x Z/9Z | 27 | P2 | Z/30Z | 30 | P2 |
Z/35Z | 35 | positive rank elliptic curve |
Z/6Z x Z/6Z | 36 | P2 |
Z/3Z x Z/12Z | 36 | P2 |
Z/40Z | 40 | positive rank elliptic surface |
Z/45Z | 45 | positive rank elliptic curve |
Z/2Z x Z/24Z | 48 | P2 |
Z/7Z x Z/7Z | 49 | P0 |
Z/5Z x Z/10Z | 50 | positive rank elliptic surface |
Z/60Z | 60 | positive rank elliptic curve |
Z/63Z | 63 | P0 |
Z/8Z x Z/8Z | 64 | P2 |
Z/2Z x Z/4Z x Z/8Z | 64 | P2 |
Z/6Z x Z/12Z | 72 | positive rank elliptic surface |
Z/2Z x Z/6Z x Z/6Z | 72 | positive rank elliptic surface |
Z/2Z x Z/2Z x Z/24Z | 96 | positive rank elliptic curve |
Z/2Z x Z/2Z x Z/4Z x Z/8Z | 128 | positive rank elliptic surface |