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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 422331bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.bi1 | 422331bi1 | \([0, 1, 1, -11041, 484033]\) | \(-629407744/70227\) | \(-16609643466507\) | \([]\) | \(1404000\) | \(1.2740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331bi do not have complex multiplication.Modular form 422331.2.a.bi
sage: E.q_eigenform(10)