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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 455175bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.bi1 | 455175bi1 | \([1, -1, 1, -2630, 9622]\) | \(610929/343\) | \(1129118484375\) | \([]\) | \(483840\) | \(1.0029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175bi do not have complex multiplication.Modular form 455175.2.a.bi
sage: E.q_eigenform(10)