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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 279174p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.p1 | 279174p1 | \([1, 1, 0, -14889, 969237]\) | \(-15124197817/8276688\) | \(-199779127691472\) | \([]\) | \(1216512\) | \(1.4477\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174p do not have complex multiplication.Modular form 279174.2.a.p
sage: E.q_eigenform(10)