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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 116160fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116160.i1 | 116160fr1 | \([0, -1, 0, -3000961, -1857786335]\) | \(53189206081/4218750\) | \(237063773675520000000\) | \([]\) | \(4257792\) | \(2.6532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116160fr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116160fr do not have complex multiplication.Modular form 116160.2.a.fr
sage: E.q_eigenform(10)