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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 360789l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360789.l1 | 360789l1 | \([0, 1, 1, -90267, -33365842]\) | \(-115006810390528/612198951507\) | \(-432996686620822467\) | \([]\) | \(3886080\) | \(2.0683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360789l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360789l do not have complex multiplication.Modular form 360789.2.a.l
sage: E.q_eigenform(10)