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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 450840ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.ce1 | 450840ce1 | \([0, 1, 0, -99801, -12168741]\) | \(-17790954496/195\) | \(-1204947444480\) | \([]\) | \(2419200\) | \(1.4724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840ce do not have complex multiplication.Modular form 450840.2.a.ce
sage: E.q_eigenform(10)