Properties

Label 2790.d
Number of curves $1$
Conductor $2790$
CM no
Rank $0$

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Show commands: 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)
 
\(q - q^{2} + q^{4} + q^{5} - 5 q^{7} - q^{8} - q^{10} - q^{11} - 4 q^{13} + 5 q^{14} + q^{16} - 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display