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SageMath
E = EllipticCurve("gq1")
E.isogeny_class()
Elliptic curves in class 216384.gq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.gq1 | 216384bg1 | \([0, 1, 0, 1307, -181231]\) | \(1605632000/93710763\) | \(-14399970685632\) | \([]\) | \(304128\) | \(1.2045\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.gq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384.gq do not have complex multiplication.Modular form 216384.2.a.gq
sage: E.q_eigenform(10)