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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 338100.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.bc1 | 338100bc1 | \([0, -1, 0, -1378533, 624293937]\) | \(-615640662016/978075\) | \(-460278182700000000\) | \([]\) | \(6082560\) | \(2.2872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100.bc do not have complex multiplication.Modular form 338100.2.a.bc
sage: E.q_eigenform(10)