Properties

Label 110670.l
Number of curves 11
Conductor 110670110670
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 110670.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110670.l1 110670m1 [1,1,0,3307,71869][1, 1, 0, -3307, 71869] 4001579756065081/2007996480-4001579756065081/2007996480 2007996480-2007996480 [][] 120960120960 0.737620.73762 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110670.l1 has rank 11.

Complex multiplication

The elliptic curves in class 110670.l do not have complex multiplication.

Modular form 110670.2.a.l

sage: E.q_eigenform(10)
 
qq2q3+q4+q5+q6+q7q8+q9q105q11q12+q13q14q15+q16q17q182q19+O(q20)q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - 5 q^{11} - q^{12} + q^{13} - q^{14} - q^{15} + q^{16} - q^{17} - q^{18} - 2 q^{19} + O(q^{20}) Copy content Toggle raw display