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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 116160.fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116160.fr1 | 116160de1 | \([0, 1, 0, 59, -541]\) | \(11264/75\) | \(-148684800\) | \([]\) | \(30720\) | \(0.24984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116160.fr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116160.fr do not have complex multiplication.Modular form 116160.2.a.fr
sage: E.q_eigenform(10)