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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 14586l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14586.j1 | 14586l1 | \([1, 1, 1, 1144, -10604023]\) | \(165568631260031/48580832601759744\) | \(-48580832601759744\) | \([]\) | \(128128\) | \(1.8807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14586l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14586l do not have complex multiplication.Modular form 14586.2.a.l
sage: E.q_eigenform(10)