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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 97104b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 97104.z1 | 97104b1 | \([0, -1, 0, -17911160, -32559875952]\) | \(-44480898716402/6327867987\) | \(-90402144657368967714816\) | \([]\) | \(8656128\) | \(3.1358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104b do not have complex multiplication.Modular form 97104.2.a.b
sage: E.q_eigenform(10)