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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 443760p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.p1 | 443760p1 | \([0, -1, 0, -1261, 17665]\) | \(-468852736/75\) | \(-35500800\) | \([]\) | \(169344\) | \(0.45867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443760p do not have complex multiplication.Modular form 443760.2.a.p
sage: E.q_eigenform(10)