Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 19800.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 19800.h1 | 19800f1 | \([0, 0, 0, -27721875, 58068418750]\) | \(-323194518662500/12784876137\) | \(-93201747038730000000000\) | \([]\) | \(1896960\) | \(3.1761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19800.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19800.h do not have complex multiplication.Modular form 19800.2.a.h
sage: E.q_eigenform(10)