Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 438216h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 438216.h1 | 438216h1 | \([0, 1, 0, 52535, -3297013]\) | \(70575104/61731\) | \(-14025341371343616\) | \([]\) | \(2661120\) | \(1.7858\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 438216h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 438216h do not have complex multiplication.Modular form 438216.2.a.h
sage: E.q_eigenform(10)