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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 25200bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.e1 | 25200bi1 | \([0, 0, 0, -300, 15500]\) | \(-1024/35\) | \(-102060000000\) | \([]\) | \(23040\) | \(0.79269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200bi do not have complex multiplication.Modular form 25200.2.a.bi
sage: E.q_eigenform(10)