Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 445280.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.e1 445280e1 [0,0,0,1126972,460487456][0, 0, 0, -1126972, -460487456] 319387394710714176/1399205-319387394710714176/1399205 693468385280-693468385280 [][] 52715525271552 1.90061.9006 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.e1 has rank 00.

Complex multiplication

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

Modular form 445280.2.a.e

sage: E.q_eigenform(10)
 
q3q3+q5+q7+6q94q133q15+O(q20)q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} - 4 q^{13} - 3 q^{15} + O(q^{20}) Copy content Toggle raw display