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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 380880.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 380880.bc1 | 380880bc1 | \([0, 0, 0, -13432368, -6075907792]\) | \(2166784/1125\) | \(139161262117248557568000\) | \([]\) | \(33914880\) | \(3.1328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380880.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380880.bc do not have complex multiplication.Modular form 380880.2.a.bc
sage: E.q_eigenform(10)