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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 299538.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.p1 | 299538p1 | \([1, -1, 1, -2927, 60535]\) | \(47832147/1024\) | \(59351657472\) | \([]\) | \(411840\) | \(0.85618\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 299538.p do not have complex multiplication.Modular form 299538.2.a.p
sage: E.q_eigenform(10)