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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 424830.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.p1 | 424830p1 | \([1, 1, 0, -8688068, -26340230832]\) | \(-10637008249/37791360\) | \(-257671537934793045356160\) | \([]\) | \(60963840\) | \(3.1781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 424830.p do not have complex multiplication.Modular form 424830.2.a.p
sage: E.q_eigenform(10)