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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 142296bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142296.r1 | 142296bc1 | \([0, -1, 0, -9844116, 12316162377]\) | \(-31636584484096/1331669031\) | \(-4440794062909317180144\) | \([]\) | \(8294400\) | \(2.9203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142296bc do not have complex multiplication.Modular form 142296.2.a.bc
sage: E.q_eigenform(10)