Properties

Label 7056.b
Number of curves 11
Conductor 70567056
CM no
Rank 11

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 7056.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.b1 7056d1 [0,0,0,111132,14261940][0, 0, 0, -111132, -14261940] 5225472-5225472 29047955989248-29047955989248 [][] 4032040320 1.58411.5841 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.b1 has rank 11.

Complex multiplication

The elliptic curves in class 7056.b do not have complex multiplication.

Modular form 7056.2.a.b

sage: E.q_eigenform(10)
 
q4q53q13+4q177q19+O(q20)q - 4 q^{5} - 3 q^{13} + 4 q^{17} - 7 q^{19} + O(q^{20}) Copy content Toggle raw display