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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 156702ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 156702.bf1 | 156702ch1 | \([1, 0, 1, -2958548, 1896902354]\) | \(24342833031142160809/871338958753536\) | \(102512157158394756864\) | \([]\) | \(5677056\) | \(2.6100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702ch do not have complex multiplication.Modular form 156702.2.a.ch
sage: E.q_eigenform(10)