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SageMath
E = EllipticCurve("gl1")
E.isogeny_class()
Elliptic curves in class 331200.gl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331200.gl1 | 331200gl1 | \([0, 0, 0, -16500, 818750]\) | \(-5451776/23\) | \(-2095875000000\) | \([]\) | \(537600\) | \(1.2189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200.gl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200.gl do not have complex multiplication.Modular form 331200.2.a.gl
sage: E.q_eigenform(10)