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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 402930.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.bc1 | 402930bc1 | \([1, -1, 0, -1659840, -822651274]\) | \(10896752313/370\) | \(17172249228722610\) | \([]\) | \(9985536\) | \(2.2070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 402930.bc do not have complex multiplication.Modular form 402930.2.a.bc
sage: E.q_eigenform(10)