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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 121242.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.bi1 | 121242bo1 | \([1, 0, 0, 5899, 190257]\) | \(187615592384231/237141728784\) | \(-28694149182864\) | \([]\) | \(327168\) | \(1.2683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121242.bi do not have complex multiplication.Modular form 121242.2.a.bi
sage: E.q_eigenform(10)