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SageMath
E = EllipticCurve("gl1")
E.isogeny_class()
Elliptic curves in class 303450.gl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.gl1 | 303450gl1 | \([1, 0, 0, 1418117, 2250501137]\) | \(6257929415/47029248\) | \(-2370266927767583308800\) | \([]\) | \(15275520\) | \(2.7830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.gl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.gl do not have complex multiplication.Modular form 303450.2.a.gl
sage: E.q_eigenform(10)