Properties

Label 2368.g
Number of curves 11
Conductor 23682368
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 2368.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2368.g1 2368o1 [0,1,0,37,67][0, -1, 0, -37, -67] 351232/37351232/37 606208606208 [][] 256256 0.15567-0.15567 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2368.g1 has rank 11.

Complex multiplication

The elliptic curves in class 2368.g do not have complex multiplication.

Modular form 2368.2.a.g

sage: E.q_eigenform(10)
 
qq3+2q5q72q9+q11+6q132q154q178q19+O(q20)q - q^{3} + 2 q^{5} - q^{7} - 2 q^{9} + q^{11} + 6 q^{13} - 2 q^{15} - 4 q^{17} - 8 q^{19} + O(q^{20}) Copy content Toggle raw display