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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 8450.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8450.l1 | 8450l1 | \([1, -1, 0, -93742, 11137166]\) | \(-48317985/338\) | \(-637289625781250\) | \([]\) | \(100800\) | \(1.6741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8450.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8450.l do not have complex multiplication.Modular form 8450.2.a.l
sage: E.q_eigenform(10)