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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 26640.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26640.v1 | 26640r1 | \([0, 0, 0, 14877, 254178]\) | \(4516672077/2960000\) | \(-238639841280000\) | \([]\) | \(64512\) | \(1.4477\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640.v do not have complex multiplication.Modular form 26640.2.a.v
sage: E.q_eigenform(10)