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| Curve | Isogeny class | |||||
|---|---|---|---|---|---|---|
| LMFDB label | Cremona label | LMFDB label | Cremona label | Weierstrass Coefficients | Rank | Torsion structure |
| 37.a1 | 37a1 | 37.a | 37a | [0, 0, 1, -1, 0] | 1 | [] |
| 43.a1 | 43a1 | 43.a | 43a | [0, 1, 1, 0, 0] | 1 | [] |
| 53.a1 | 53a1 | 53.a | 53a | [1, -1, 1, 0, 0] | 1 | [] |
| 57.a1 | 57a1 | 57.a | 57a | [0, -1, 1, -2, 2] | 1 | [] |
| 58.a1 | 58a1 | 58.a | 58a | [1, -1, 0, -1, 1] | 1 | [] |
| 61.a1 | 61a1 | 61.a | 61a | [1, 0, 0, -2, 1] | 1 | [] |
| 65.a1 | 65a1 | 65.a | 65a | [1, 0, 0, -1, 0] | 1 | [2] |
| 65.a2 | 65a2 | 65.a | 65a | [1, 0, 0, 4, 1] | 1 | [2] |
| 77.a1 | 77a1 | 77.a | 77a | [0, 0, 1, 2, 0] | 1 | [] |
| 79.a1 | 79a1 | 79.a | 79a | [1, 1, 1, -2, 0] | 1 | [] |
| 82.a1 | 82a2 | 82.a | 82a | [1, 0, 1, -12, -16] | 1 | [2] |
| 82.a2 | 82a1 | 82.a | 82a | [1, 0, 1, -2, 0] | 1 | [2] |
| 83.a1 | 83a1 | 83.a | 83a | [1, 1, 1, 1, 0] | 1 | [] |
| 88.a1 | 88a1 | 88.a | 88a | [0, 0, 0, -4, 4] | 1 | [] |
| 89.a1 | 89a1 | 89.a | 89a | [1, 1, 1, -1, 0] | 1 | [] |
| 91.a1 | 91a1 | 91.a | 91a | [0, 0, 1, 1, 0] | 1 | [] |
| 91.b1 | 91b3 | 91.b | 91b | [0, 1, 1, -117, -1245] | 1 | [] |
| 91.b2 | 91b1 | 91.b | 91b | [0, 1, 1, -7, 5] | 1 | [3] |
| 91.b3 | 91b2 | 91.b | 91b | [0, 1, 1, 13, 42] | 1 | [3] |
| 92.a1 | 92b1 | 92.a | 92b | [0, 0, 0, -1, 1] | 1 | [] |
| 99.a1 | 99a2 | 99.a | 99a | [1, -1, 1, -17, 30] | 1 | [2] |
| 99.a2 | 99a1 | 99.a | 99a | [1, -1, 1, -2, 0] | 1 | [2] |
| 101.a1 | 101a1 | 101.a | 101a | [0, 1, 1, -1, -1] | 1 | [] |
| 102.a1 | 102a1 | 102.a | 102a | [1, 1, 0, -2, 0] | 1 | [2] |
| 102.a2 | 102a2 | 102.a | 102a | [1, 1, 0, 8, 10] | 1 | [2] |
| 106.a1 | 106b1 | 106.a | 106b | [1, 1, 0, -7, 5] | 1 | [] |
| 112.a1 | 112a2 | 112.a | 112a | [0, 1, 0, -40, 84] | 1 | [2] |
| 112.a2 | 112a1 | 112.a | 112a | [0, 1, 0, 0, 4] | 1 | [2] |
| 117.a1 | 117a4 | 117.a | 117a | [1, -1, 1, -626, 6180] | 1 | [2] |
| 117.a2 | 117a3 | 117.a | 117a | [1, -1, 1, -176, -768] | 1 | [2] |
| 117.a3 | 117a2 | 117.a | 117a | [1, -1, 1, -41, 96] | 1 | [2, 2] |
| 117.a4 | 117a1 | 117.a | 117a | [1, -1, 1, 4, 6] | 1 | [4] |
| 118.a1 | 118a1 | 118.a | 118a | [1, 1, 0, 1, 1] | 1 | [] |
| 121.b1 | 121b2 | 121.b | 121b | [0, -1, 1, -887, -10143] | 1 | [] |
| 121.b2 | 121b1 | 121.b | 121b | [0, -1, 1, -7, 10] | 1 | [] |
| 122.a1 | 122a1 | 122.a | 122a | [1, 0, 1, 2, 0] | 1 | [] |
| 123.a1 | 123a1 | 123.a | 123a | [0, 1, 1, -10, 10] | 1 | [5] |
| 123.a2 | 123a2 | 123.a | 123a | [0, 1, 1, 20, -890] | 1 | [] |
| 123.b1 | 123b1 | 123.b | 123b | [0, -1, 1, 1, -1] | 1 | [] |
| 124.a1 | 124a1 | 124.a | 124a | [0, 1, 0, -2, 1] | 1 | [3] |
| 124.a2 | 124a2 | 124.a | 124a | [0, 1, 0, 18, -11] | 1 | [] |
| 128.a1 | 128a2 | 128.a | 128a | [0, 1, 0, -9, 7] | 1 | [2] |
| 128.a2 | 128a1 | 128.a | 128a | [0, 1, 0, 1, 1] | 1 | [2] |
| 129.a1 | 129a1 | 129.a | 129a | [0, -1, 1, -19, 39] | 1 | [] |
| 130.a1 | 130a3 | 130.a | 130a | [1, 0, 1, -208, -1122] | 1 | [2] |
| 130.a2 | 130a1 | 130.a | 130a | [1, 0, 1, -33, 68] | 1 | [6] |
| 130.a3 | 130a2 | 130.a | 130a | [1, 0, 1, -13, 156] | 1 | [6] |
| 130.a4 | 130a4 | 130.a | 130a | [1, 0, 1, 112, -4194] | 1 | [2] |
| 131.a1 | 131a1 | 131.a | 131a | [0, -1, 1, 1, 0] | 1 | [] |
| 135.a1 | 135a1 | 135.a | 135a | [0, 0, 1, -3, 4] | 1 | [] |
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