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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 162288.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.q1 | 162288gh1 | \([0, 0, 0, -11556699, -15163116934]\) | \(-1070969436979596/3404825447\) | \(-542678846285474067456\) | \([]\) | \(8580096\) | \(2.8455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288.q do not have complex multiplication.Modular form 162288.2.a.q
sage: E.q_eigenform(10)