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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 203280.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203280.b1 | 203280ha1 | \([0, -1, 0, -53401, -5436539]\) | \(-37135043584/6847995\) | \(-3105700062769920\) | \([]\) | \(1382400\) | \(1.6973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203280.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 203280.b do not have complex multiplication.Modular form 203280.2.a.b
sage: E.q_eigenform(10)