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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 15600.ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15600.ch1 | 15600n1 | \([0, 1, 0, 242967, -30253437]\) | \(396555344454656/328867205355\) | \(-1315468821420000000\) | \([]\) | \(253440\) | \(2.1645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.ch do not have complex multiplication.Modular form 15600.2.a.ch
sage: E.q_eigenform(10)