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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 162288e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.n1 | 162288e1 | \([0, 0, 0, -1659, -63574]\) | \(-3451273/9936\) | \(-1453768114176\) | \([]\) | \(221184\) | \(1.0208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288e do not have complex multiplication.Modular form 162288.2.a.e
sage: E.q_eigenform(10)