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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 69366f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.c1 | 69366f1 | \([1, 1, 0, -88, 286]\) | \(-76711450249/624294\) | \(-624294\) | \([]\) | \(16416\) | \(-0.060703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366f do not have complex multiplication.Modular form 69366.2.a.f
sage: E.q_eigenform(10)