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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 316239p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
316239.p1 | 316239p1 | \([1, 0, 1, -1280044, 626568083]\) | \(-66036512089/10085229\) | \(-35424159650588232909\) | \([]\) | \(9270720\) | \(2.4803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 316239p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 316239p do not have complex multiplication.Modular form 316239.2.a.p
sage: E.q_eigenform(10)