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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2790.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2790.d1 | 2790e1 | \([1, -1, 0, -171789, 30891653]\) | \(-28485240894685827/4402018257760\) | \(-86644925367490080\) | \([]\) | \(50400\) | \(1.9789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2790.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2790.d do not have complex multiplication.Modular form 2790.2.a.d
sage: E.q_eigenform(10)