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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 55506.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55506.f1 | 55506f1 | \([1, 1, 0, 46238, 2322022]\) | \(753571/594\) | \(-8617244709666186\) | \([]\) | \(545664\) | \(1.7457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55506.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55506.f do not have complex multiplication.Modular form 55506.2.a.f
sage: E.q_eigenform(10)