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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 2366.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2366.p1 | 2366m1 | \([1, -1, 1, -3126, -66491]\) | \(-19983597574473/3670016\) | \(-620232704\) | \([]\) | \(4560\) | \(0.68997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2366.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2366.p do not have complex multiplication.Modular form 2366.2.a.p
sage: E.q_eigenform(10)