Refine search
| Curve | Isogeny class | |||||
|---|---|---|---|---|---|---|
| LMFDB label | Cremona label | LMFDB label | Cremona label | Weierstrass coefficients | Rank | Torsion structure |
| 27.a3 | 27a1 | 27.a | 27a | $[0, 0, 1, 0, -7]$ | $0$ | $[3]$ |
| 27.a4 | 27a3 | 27.a | 27a | $[0, 0, 1, 0, 0]$ | $0$ | $[3]$ |
| 36.a3 | 36a3 | 36.a | 36a | $[0, 0, 0, 0, -27]$ | $0$ | $[2]$ |
| 36.a4 | 36a1 | 36.a | 36a | $[0, 0, 0, 0, 1]$ | $0$ | $[6]$ |
| 108.a1 | 108a2 | 108.a | 108a | $[0, 0, 0, 0, -108]$ | $0$ | trivial |
| 108.a2 | 108a1 | 108.a | 108a | $[0, 0, 0, 0, 4]$ | $0$ | $[3]$ |
| 144.a3 | 144a1 | 144.a | 144a | $[0, 0, 0, 0, -1]$ | $0$ | $[2]$ |
| 144.a4 | 144a3 | 144.a | 144a | $[0, 0, 0, 0, 27]$ | $0$ | $[2]$ |
| 225.c1 | 225a2 | 225.c | 225a | $[0, 0, 1, 0, -34]$ | $1$ | trivial |
| 225.c2 | 225a1 | 225.c | 225a | $[0, 0, 1, 0, 1]$ | $1$ | trivial |
| 225.d1 | 225b2 | 225.d | 225b | $[0, 0, 1, 0, -4219]$ | $0$ | trivial |
| 225.d2 | 225b1 | 225.d | 225b | $[0, 0, 1, 0, 156]$ | $0$ | $[3]$ |
| 243.a1 | 243a1 | 243.a | 243a | $[0, 0, 1, 0, -1]$ | $1$ | trivial |
| 243.a2 | 243a2 | 243.a | 243a | $[0, 0, 1, 0, 20]$ | $1$ | $[3]$ |
| 243.b1 | 243b2 | 243.b | 243b | $[0, 0, 1, 0, -61]$ | $0$ | trivial |
| 243.b2 | 243b1 | 243.b | 243b | $[0, 0, 1, 0, 2]$ | $0$ | $[3]$ |
| 432.d1 | 432b1 | 432.d | 432b | $[0, 0, 0, 0, -4]$ | $1$ | trivial |
| 432.d2 | 432b2 | 432.d | 432b | $[0, 0, 0, 0, 108]$ | $1$ | trivial |
| 432.e3 | 432a1 | 432.e | 432a | $[0, 0, 0, 0, -16]$ | $0$ | trivial |
| 432.e4 | 432a3 | 432.e | 432a | $[0, 0, 0, 0, 432]$ | $0$ | trivial |
| 441.d1 | 441b2 | 441.d | 441b | $[0, 0, 1, 0, -331]$ | $1$ | trivial |
| 441.d2 | 441b1 | 441.d | 441b | $[0, 0, 1, 0, 12]$ | $1$ | $[3]$ |
| 441.e1 | 441a1 | 441.e | 441a | $[0, 0, 1, 0, -4202]$ | $0$ | trivial |
| 441.e2 | 441a2 | 441.e | 441a | $[0, 0, 1, 0, 113447]$ | $0$ | trivial |
| 576.e3 | 576a3 | 576.e | 576a | $[0, 0, 0, 0, -216]$ | $1$ | $[2]$ |
| 576.e4 | 576a1 | 576.e | 576a | $[0, 0, 0, 0, 8]$ | $1$ | $[2]$ |
| 576.f3 | 576e1 | 576.f | 576e | $[0, 0, 0, 0, -8]$ | $0$ | $[2]$ |
| 576.f4 | 576e3 | 576.f | 576e | $[0, 0, 0, 0, 216]$ | $0$ | $[2]$ |
| 675.d1 | 675c2 | 675.d | 675c | $[0, 0, 1, 0, -169]$ | $0$ | trivial |
| 675.d2 | 675c1 | 675.d | 675c | $[0, 0, 1, 0, 6]$ | $0$ | $[3]$ |
| 675.e3 | 675a2 | 675.e | 675a | $[0, 0, 1, 0, -844]$ | $1$ | trivial |
| 675.e4 | 675a1 | 675.e | 675a | $[0, 0, 1, 0, 31]$ | $1$ | trivial |
| 675.f1 | 675e2 | 675.f | 675e | $[0, 0, 1, 0, -21094]$ | $0$ | trivial |
| 675.f2 | 675e1 | 675.f | 675e | $[0, 0, 1, 0, 781]$ | $0$ | trivial |
| 900.d1 | 900c2 | 900.d | 900c | $[0, 0, 0, 0, -2700]$ | $1$ | trivial |
| 900.d2 | 900c1 | 900.d | 900c | $[0, 0, 0, 0, 100]$ | $1$ | $[3]$ |
| 900.f1 | 900a2 | 900.f | 900a | $[0, 0, 0, 0, -337500]$ | $0$ | trivial |
| 900.f2 | 900a1 | 900.f | 900a | $[0, 0, 0, 0, 12500]$ | $0$ | trivial |
| 900.g3 | 900b3 | 900.g | 900b | $[0, 0, 0, 0, -3375]$ | $0$ | $[2]$ |
| 900.g4 | 900b1 | 900.g | 900b | $[0, 0, 0, 0, 125]$ | $0$ | $[2]$ |
| 972.a1 | 972d2 | 972.a | 972d | $[0, 0, 0, 0, -972]$ | $1$ | trivial |
| 972.a2 | 972d1 | 972.a | 972d | $[0, 0, 0, 0, 36]$ | $1$ | $[3]$ |
| 972.b1 | 972c2 | 972.b | 972c | $[0, 0, 0, 0, -243]$ | $1$ | trivial |
| 972.b2 | 972c1 | 972.b | 972c | $[0, 0, 0, 0, 9]$ | $1$ | $[3]$ |
| 972.c1 | 972a1 | 972.c | 972a | $[0, 0, 0, 0, -12]$ | $0$ | trivial |
| 972.c2 | 972a2 | 972.c | 972a | $[0, 0, 0, 0, 324]$ | $0$ | $[3]$ |
| 972.d1 | 972b1 | 972.d | 972b | $[0, 0, 0, 0, -3]$ | $0$ | trivial |
| 972.d2 | 972b2 | 972.d | 972b | $[0, 0, 0, 0, 81]$ | $0$ | $[3]$ |
| 1089.e1 | 1089b1 | 1089.e | 1089b | $[0, 0, 1, 0, -40263]$ | $0$ | trivial |
| 1089.e2 | 1089b2 | 1089.e | 1089b | $[0, 0, 1, 0, 1087094]$ | $0$ | trivial |