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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 35280bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.u1 | 35280bi1 | \([0, 0, 0, -35121828, -80115002548]\) | \(-90888126966784/16875\) | \(-889593652170720000\) | \([]\) | \(1290240\) | \(2.8378\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35280bi do not have complex multiplication.Modular form 35280.2.a.bi
sage: E.q_eigenform(10)