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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 185150.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.bi1 | 185150b1 | \([1, -1, 1, -95055, -12171753]\) | \(-1026590625/100352\) | \(-9284810958080000\) | \([]\) | \(3345408\) | \(1.8048\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185150.bi do not have complex multiplication.Modular form 185150.2.a.bi
sage: E.q_eigenform(10)