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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 26640b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26640.n1 | 26640b1 | \([0, 0, 0, -1188, 17388]\) | \(-36799488/4625\) | \(-23304672000\) | \([]\) | \(16128\) | \(0.72346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640b do not have complex multiplication.Modular form 26640.2.a.b
sage: E.q_eigenform(10)