Show commands:
SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 166410.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.ch1 | 166410r1 | \([1, -1, 1, -2429933, -1416165019]\) | \(186222121/6000\) | \(51124188014226774000\) | \([]\) | \(6935040\) | \(2.5558\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166410.ch do not have complex multiplication.Modular form 166410.2.a.ch
sage: E.q_eigenform(10)