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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 88725ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.e1 | 88725ce1 | \([0, 1, 1, -2105458, 1175290744]\) | \(-647868416/63\) | \(-100373116060546875\) | \([]\) | \(2246400\) | \(2.2980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725ce do not have complex multiplication.Modular form 88725.2.a.ce
sage: E.q_eigenform(10)