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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 169338.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.l1 | 169338s1 | \([1, 0, 1, 11488, 1271558]\) | \(205572263/973944\) | \(-794476041333624\) | \([]\) | \(1055808\) | \(1.5414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169338.l do not have complex multiplication.Modular form 169338.2.a.l
sage: E.q_eigenform(10)