Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 162450.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162450.h1 | 162450ep1 | \([1, -1, 0, -868092, 3532628816]\) | \(-13851/1024\) | \(-5348599541376048000000\) | \([]\) | \(10506240\) | \(2.8490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162450.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162450.h do not have complex multiplication.Modular form 162450.2.a.h
sage: E.q_eigenform(10)