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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 67760ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.b1 | 67760ce1 | \([0, 0, 0, -4494787, -3667951166]\) | \(-11437987859001/358400\) | \(-314680209204838400\) | \([]\) | \(2787840\) | \(2.4537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67760ce do not have complex multiplication.Modular form 67760.2.a.ce
sage: E.q_eigenform(10)