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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 479808bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.bi1 | 479808bi1 | \([0, 0, 0, -234444, -7228816]\) | \(152186997697/85660416\) | \(802128060726902784\) | \([]\) | \(5308416\) | \(2.1256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808bi do not have complex multiplication.Modular form 479808.2.a.bi
sage: E.q_eigenform(10)