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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 112710ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.ce1 | 112710ce1 | \([1, 1, 1, 1150, 7517]\) | \(2013714719/1421550\) | \(-118729277550\) | \([]\) | \(151200\) | \(0.81349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710ce do not have complex multiplication.Modular form 112710.2.a.ce
sage: E.q_eigenform(10)