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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 126960bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 126960.d1 | 126960bl1 | \([0, -1, 0, -10874081856, 453482772249600]\) | \(-443321577260160665089/20407334400000000\) | \(-6545893227818372982374400000000\) | \([]\) | \(330670080\) | \(4.6767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126960bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126960bl do not have complex multiplication.Modular form 126960.2.a.bl
sage: E.q_eigenform(10)