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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 8034.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8034.d1 | 8034e1 | \([1, 1, 1, -29009, 1888175]\) | \(2699746096571246737/2402493530112\) | \(2402493530112\) | \([]\) | \(48960\) | \(1.3006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8034.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 8034.d do not have complex multiplication.Modular form 8034.2.a.d
sage: E.q_eigenform(10)