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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 214245.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
214245.bb1 | 214245bd1 | \([0, 0, 1, -14283, -574891]\) | \(36864/5\) | \(43706856047805\) | \([]\) | \(855360\) | \(1.3446\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 214245.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 214245.bb do not have complex multiplication.Modular form 214245.2.a.bb
sage: E.q_eigenform(10)