Properties

Label 337896.k
Number of curves 11
Conductor 337896337896
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 337896.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
337896.k1 337896k1 [0,0,0,3249,555579][0, 0, 0, 3249, 555579] 6912/2476912/247 135539559528048-135539559528048 [][] 921600921600 1.39161.3916 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 337896.k1 has rank 00.

Complex multiplication

The elliptic curves in class 337896.k do not have complex multiplication.

Modular form 337896.2.a.k

sage: E.q_eigenform(10)
 
q2q5+2q7+6q11+q13q17+O(q20)q - 2 q^{5} + 2 q^{7} + 6 q^{11} + q^{13} - q^{17} + O(q^{20}) Copy content Toggle raw display