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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 5544.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5544.h1 | 5544q1 | \([0, 0, 0, -14943, -728201]\) | \(-31636584484096/1331669031\) | \(-15532587577584\) | \([]\) | \(11520\) | \(1.2978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5544.h do not have complex multiplication.Modular form 5544.2.a.h
sage: E.q_eigenform(10)