Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 12900.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 12900.h1 | 12900c1 | \([0, -1, 0, -116133, 15325137]\) | \(-43304636317696/176326875\) | \(-705307500000000\) | \([]\) | \(73728\) | \(1.7053\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12900.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12900.h do not have complex multiplication.Modular form 12900.2.a.h
sage: E.q_eigenform(10)