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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 432.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 432.h1 | 432g1 | \([0, 0, 0, -108, 540]\) | \(-3072\) | \(-45349632\) | \([]\) | \(144\) | \(0.18171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 432.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 432.h do not have complex multiplication.Modular form 432.2.a.h
sage: E.q_eigenform(10)