Properties

Label 438702bc
Number of curves 11
Conductor 438702438702
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 438702bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
438702.bc1 438702bc1 [1,0,1,307358,51002566][1, 0, 1, -307358, -51002566] 11111108866303075129/254555310616932611111108866303075129/2545553106169326 735664847682935214735664847682935214 [][] 74649607464960 2.14072.1407 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 438702bc1 has rank 11.

Complex multiplication

The elliptic curves in class 438702bc do not have complex multiplication.

Modular form 438702.2.a.bc

sage: E.q_eigenform(10)
 
qq2+q3+q4+q5q6q7q8+q9q10+q11+q12+6q13+q14+q15+q16q18+4q19+O(q20)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + q^{11} + q^{12} + 6 q^{13} + q^{14} + q^{15} + q^{16} - q^{18} + 4 q^{19} + O(q^{20}) Copy content Toggle raw display