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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 119025.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119025.e1 | 119025cv1 | \([0, 0, 1, -2182125, 1245216406]\) | \(-5451776/23\) | \(-4847886232154296875\) | \([]\) | \(3548160\) | \(2.4401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119025.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 119025.e do not have complex multiplication.Modular form 119025.2.a.e
sage: E.q_eigenform(10)