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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 67600.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 67600.h1 | 67600cm1 | \([0, 0, 0, -54925, -3570125]\) | \(89856/25\) | \(5098317006250000\) | \([]\) | \(718848\) | \(1.7212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67600.h do not have complex multiplication.Modular form 67600.2.a.h
sage: E.q_eigenform(10)