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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 90738bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 90738.v1 | 90738bc1 | \([1, -1, 1, -119147501, 498550295125]\) | \(2003092024307193/9529458688\) | \(889909519025209073467392\) | \([]\) | \(22861440\) | \(3.4447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90738bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90738bc do not have complex multiplication.Modular form 90738.2.a.bc
sage: E.q_eigenform(10)