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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 123840.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123840.ce1 | 123840bv1 | \([0, 0, 0, -39468, 3069232]\) | \(-71157653138/1410615\) | \(-134786362245120\) | \([]\) | \(360448\) | \(1.5041\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123840.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 123840.ce do not have complex multiplication.Modular form 123840.2.a.ce
sage: E.q_eigenform(10)