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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 279174bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.bi1 | 279174bi1 | \([1, 0, 1, -181065, 29742844]\) | \(-94109273353/378672\) | \(-2641524021698352\) | \([]\) | \(2026944\) | \(1.8158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174bi do not have complex multiplication.Modular form 279174.2.a.bi
sage: E.q_eigenform(10)