Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 4056.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4056.h1 | 4056l1 | \([0, -1, 0, -17, -27]\) | \(-13312/3\) | \(-129792\) | \([]\) | \(480\) | \(-0.29876\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4056.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4056.h do not have complex multiplication.Modular form 4056.2.a.h
sage: E.q_eigenform(10)