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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 388815.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.ch1 | 388815ch1 | \([0, 1, 1, 5927269, 25031267195]\) | \(550731776/6790635\) | \(-283960416037550085404235\) | \([]\) | \(29272320\) | \(3.1811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815.ch do not have complex multiplication.Modular form 388815.2.a.ch
sage: E.q_eigenform(10)