Properties

Label 291018q
Number of curves $1$
Conductor $291018$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 291018q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
291018.q1 291018q1 \([1, 1, 0, 2612230, 109055094]\) \(408411137424575375/237392322963978\) \(-1145847401013435686202\) \([]\) \(19649280\) \(2.7303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 291018q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 291018q do not have complex multiplication.

Modular form 291018.2.a.q

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