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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 338130.ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.ed1 | 338130ed1 | \([1, -1, 1, 9942268, 5283891839]\) | \(6176736766011239/4260587175000\) | \(-74970518132549552175000\) | \([]\) | \(33177600\) | \(3.0779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.ed1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130.ed do not have complex multiplication.Modular form 338130.2.a.ed
sage: E.q_eigenform(10)