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SageMath
E = EllipticCurve("gq1")
E.isogeny_class()
Elliptic curves in class 162240.gq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162240.gq1 | 162240d1 | \([0, 1, 0, -225, 11805]\) | \(-4096/195\) | \(-60238576320\) | \([]\) | \(161280\) | \(0.74846\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162240.gq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162240.gq do not have complex multiplication.Modular form 162240.2.a.gq
sage: E.q_eigenform(10)