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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 115920.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
115920.l1 | 115920t1 | \([0, 0, 0, -1623, 49597]\) | \(-40535147776/67648175\) | \(-789048313200\) | \([]\) | \(115200\) | \(0.97364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 115920.l do not have complex multiplication.Modular form 115920.2.a.l
sage: E.q_eigenform(10)