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SageMath
E = EllipticCurve("ft1")
E.isogeny_class()
Elliptic curves in class 116160ft
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116160.h1 | 116160ft1 | \([0, -1, 0, -312341, -71855859]\) | \(-7929856/675\) | \(-286847166147379200\) | \([]\) | \(1520640\) | \(2.0946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116160ft1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116160ft do not have complex multiplication.Modular form 116160.2.a.ft
sage: E.q_eigenform(10)