Properties

Label 445280.q
Number of curves 11
Conductor 445280445280
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 445280.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.q1 445280q1 [0,0,0,884147,319991034][0, 0, 0, -884147, 319991034] 84269627303688/669185-84269627303688/669185 606977048465920-606977048465920 [][] 46080004608000 2.00902.0090 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.q1 has rank 00.

Complex multiplication

The elliptic curves in class 445280.q do not have complex multiplication.

Modular form 445280.2.a.q

sage: E.q_eigenform(10)
 
q+q53q73q94q13+8q175q19+O(q20)q + q^{5} - 3 q^{7} - 3 q^{9} - 4 q^{13} + 8 q^{17} - 5 q^{19} + O(q^{20}) Copy content Toggle raw display