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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 36414.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.ch1 | 36414bs1 | \([1, -1, 1, -140942, 97073587]\) | \(-7803/98\) | \(-3888719178368691366\) | \([]\) | \(822528\) | \(2.2488\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.ch do not have complex multiplication.Modular form 36414.2.a.ch
sage: E.q_eigenform(10)