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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 333270.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.ce1 | 333270ce1 | \([1, -1, 0, -46919754, 125275968580]\) | \(-200097047358049/2940552720\) | \(-167872356384190970939280\) | \([]\) | \(54405120\) | \(3.2605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.ce do not have complex multiplication.Modular form 333270.2.a.ce
sage: E.q_eigenform(10)