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SageMath
E = EllipticCurve("lg1")
E.isogeny_class()
Elliptic curves in class 388080.lg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.lg1 | 388080lg1 | \([0, 0, 0, -460992, 1104757724]\) | \(-205520896/9882675\) | \(-520981626457260460800\) | \([]\) | \(11612160\) | \(2.6552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.lg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080.lg do not have complex multiplication.Modular form 388080.2.a.lg
sage: E.q_eigenform(10)