Properties

Label 2368.r
Number of curves 11
Conductor 23682368
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 2368.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2368.r1 2368h1 [0,0,0,58,170][0, 0, 0, -58, 170] 337153536/37337153536/37 23682368 [][] 576576 0.32311-0.32311 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2368.r1 has rank 00.

Complex multiplication

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

Modular form 2368.2.a.r

sage: E.q_eigenform(10)
 
q+3q3+4q5q7+6q93q112q13+12q15+8q17+2q19+O(q20)q + 3 q^{3} + 4 q^{5} - q^{7} + 6 q^{9} - 3 q^{11} - 2 q^{13} + 12 q^{15} + 8 q^{17} + 2 q^{19} + O(q^{20}) Copy content Toggle raw display