Properties

Label 874.a
Number of curves $1$
Conductor $874$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 874.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
874.a1 874b1 \([1, -1, 0, -13189, 575701]\) \(253733516886870441/5293446529024\) \(5293446529024\) \([]\) \(3600\) \(1.2314\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 874.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 874.a do not have complex multiplication.

Modular form 874.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + q^{5} + 3 q^{6} + 2 q^{7} - q^{8} + 6 q^{9} - q^{10} + 5 q^{11} - 3 q^{12} - 2 q^{13} - 2 q^{14} - 3 q^{15} + q^{16} - 2 q^{17} - 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display