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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 206310ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.q1 | 206310ch1 | \([1, 1, 0, -137, -771]\) | \(-543717769/101400\) | \(-53640600\) | \([]\) | \(78336\) | \(0.20753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310ch do not have complex multiplication.Modular form 206310.2.a.ch
sage: E.q_eigenform(10)