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SageMath
E = EllipticCurve("eu1")
E.isogeny_class()
Elliptic curves in class 450800.eu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.eu1 | 450800eu1 | \([0, 1, 0, 195592, -9441937]\) | \(28134973184/17609375\) | \(-517931339843750000\) | \([]\) | \(4423680\) | \(2.0881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.eu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.eu do not have complex multiplication.Modular form 450800.2.a.eu
sage: E.q_eigenform(10)