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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 26640bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26640.f1 | 26640bi1 | \([0, 0, 0, -124563, -16921262]\) | \(-71581931663761/199800\) | \(-596599603200\) | \([]\) | \(82944\) | \(1.4918\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640bi do not have complex multiplication.Modular form 26640.2.a.bi
sage: E.q_eigenform(10)