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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 180708l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180708.j1 | 180708l1 | \([0, -1, 0, -246941344405, -47232188499445487]\) | \(-1852044335558653867196416/473513931\) | \(-425781236168413714803456\) | \([]\) | \(491028480\) | \(4.8166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180708l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180708l do not have complex multiplication.Modular form 180708.2.a.l
sage: E.q_eigenform(10)