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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 187590bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187590.ca1 | 187590bc1 | \([1, 1, 1, 250, -5803]\) | \(357911/3330\) | \(-16073273970\) | \([]\) | \(184320\) | \(0.63959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187590bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187590bc do not have complex multiplication.Modular form 187590.2.a.bc
sage: E.q_eigenform(10)