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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 30400.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30400.bc1 | 30400a1 | \([0, 0, 0, -50, 250]\) | \(-13824/19\) | \(-19000000\) | \([]\) | \(4480\) | \(0.089151\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30400.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30400.bc do not have complex multiplication.Modular form 30400.2.a.bc
sage: E.q_eigenform(10)