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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 324870ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324870.ce1 | 324870ce1 | \([1, 0, 1, 187301, 13684766]\) | \(6176736766011239/4260587175000\) | \(-501253820551575000\) | \([]\) | \(5184000\) | \(2.0849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324870ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 324870ce do not have complex multiplication.Modular form 324870.2.a.ce
sage: E.q_eigenform(10)