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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 8640.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8640.bi1 | 8640cf1 | \([0, 0, 0, -12, -24]\) | \(-6912/5\) | \(-138240\) | \([]\) | \(768\) | \(-0.31395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8640.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8640.bi do not have complex multiplication.Modular form 8640.2.a.bi
sage: E.q_eigenform(10)