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SageMath
E = EllipticCurve("dz1")
E.isogeny_class()
Elliptic curves in class 161700dz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.r1 | 161700dz1 | \([0, -1, 0, 13067, -365903]\) | \(327680000/264627\) | \(-199251852307200\) | \([]\) | \(381024\) | \(1.4317\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700dz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700dz do not have complex multiplication.Modular form 161700.2.a.dz
sage: E.q_eigenform(10)