Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 169338.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.h1 | 169338o1 | \([1, 0, 1, -63431, -4765174]\) | \(167005909852146625/38732015075328\) | \(6545710547730432\) | \([]\) | \(1406592\) | \(1.7469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169338.h do not have complex multiplication.Modular form 169338.2.a.h
sage: E.q_eigenform(10)