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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 435120.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.e1 | 435120e1 | \([0, -1, 0, 86224, -3676224]\) | \(353221512666239/233046720000\) | \(-46773408890880000\) | \([]\) | \(4105728\) | \(1.8875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435120.e do not have complex multiplication.Modular form 435120.2.a.e
sage: E.q_eigenform(10)