Properties

Label 20400.p
Number of curves 11
Conductor 2040020400
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 20400.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20400.p1 20400k1 [0,1,0,1167,126963][0, -1, 0, 1167, -126963] 1756160/702271756160/70227 7022700000000-7022700000000 [][] 3840038400 1.14491.1449 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20400.p1 has rank 00.

Complex multiplication

The elliptic curves in class 20400.p do not have complex multiplication.

Modular form 20400.2.a.p

sage: E.q_eigenform(10)
 
qq3q7+q92q11+5q13q17+7q19+O(q20)q - q^{3} - q^{7} + q^{9} - 2 q^{11} + 5 q^{13} - q^{17} + 7 q^{19} + O(q^{20}) Copy content Toggle raw display