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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 6240.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6240.r1 | 6240bb1 | \([0, 1, 0, 179, 3419]\) | \(153990656/1279395\) | \(-5240401920\) | \([]\) | \(3456\) | \(0.54635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6240.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6240.r do not have complex multiplication.Modular form 6240.2.a.r
sage: E.q_eigenform(10)