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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 40425ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40425.w1 | 40425ch1 | \([1, 0, 0, -31263, 159690642]\) | \(-1225/3993\) | \(-11014879582587890625\) | \([]\) | \(650160\) | \(2.3328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40425ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40425ch do not have complex multiplication.Modular form 40425.2.a.ch
sage: E.q_eigenform(10)