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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 254100.ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254100.ch1 | 254100ch1 | \([0, 1, 0, 76101942, 127690407513]\) | \(110056273881297152/79587574568271\) | \(-35248560797435185257750000\) | \([]\) | \(54432000\) | \(3.5904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100.ch do not have complex multiplication.Modular form 254100.2.a.ch
sage: E.q_eigenform(10)