Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 4356.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4356.h1 | 4356e1 | \([0, 0, 0, 33, -682]\) | \(176/9\) | \(-203233536\) | \([]\) | \(1152\) | \(0.27387\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4356.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4356.h do not have complex multiplication.Modular form 4356.2.a.h
sage: E.q_eigenform(10)