Properties

Label 676.e
Number of curves 11
Conductor 676676
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 676.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
676.e1 676d1 [0,0,0,169,845][0, 0, 0, -169, 845] 11681281168128 456976456976 [][] 180180 0.0128190.012819 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 676.e1 has rank 00.

Complex multiplication

The elliptic curves in class 676.e do not have complex multiplication.

Modular form 676.2.a.e

sage: E.q_eigenform(10)
 
q+3q3+2q5+q7+6q95q11+6q15+3q173q19+O(q20)q + 3 q^{3} + 2 q^{5} + q^{7} + 6 q^{9} - 5 q^{11} + 6 q^{15} + 3 q^{17} - 3 q^{19} + O(q^{20}) Copy content Toggle raw display