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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 190575.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190575.h1 | 190575p1 | \([0, 0, 1, -7425, -176344]\) | \(1216512/343\) | \(12764117953125\) | \([]\) | \(483840\) | \(1.2217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.h do not have complex multiplication.Modular form 190575.2.a.h
sage: E.q_eigenform(10)