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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 144150ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 144150.dp1 | 144150ch1 | \([1, 1, 1, -4889588, 4698505781]\) | \(-932288503609/148800000\) | \(-2063446058325000000000\) | \([]\) | \(8294400\) | \(2.8180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144150ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 144150ch do not have complex multiplication.Modular form 144150.2.a.ch
sage: E.q_eigenform(10)