Show commands:
SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 169050hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169050.s1 | 169050hj1 | \([1, 1, 0, 23425, -9682875]\) | \(10609120625/309049344\) | \(-41407783200000000\) | \([]\) | \(1689600\) | \(1.8686\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050hj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169050hj do not have complex multiplication.Modular form 169050.2.a.hj
sage: E.q_eigenform(10)