Properties

Label 1260.h
Number of curves 11
Conductor 12601260
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 1260.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1260.h1 1260i1 [0,0,0,288,5724][0, 0, 0, 288, -5724] 14155776/8403514155776/84035 15682947840-15682947840 [][] 840840 0.638240.63824 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1260.h1 has rank 00.

Complex multiplication

The elliptic curves in class 1260.h do not have complex multiplication.

Modular form 1260.2.a.h

sage: E.q_eigenform(10)
 
q+q5q7+5q113q13+q17+6q19+O(q20)q + q^{5} - q^{7} + 5 q^{11} - 3 q^{13} + q^{17} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display