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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 257600.bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257600.bl1 | 257600bl1 | \([0, -1, 0, -13893, -1564643]\) | \(-144814859264/435654247\) | \(-892219897856000\) | \([]\) | \(831488\) | \(1.5555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.bl do not have complex multiplication.Modular form 257600.2.a.bl
sage: E.q_eigenform(10)