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SageMath
E = EllipticCurve("dz1")
E.isogeny_class()
Elliptic curves in class 179520.dz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.dz1 | 179520hk1 | \([0, -1, 0, -4746062945, 125860522079457]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-1125434779081113600000000000\) | \([]\) | \(129254400\) | \(4.2275\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520.dz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520.dz do not have complex multiplication.Modular form 179520.2.a.dz
sage: E.q_eigenform(10)