Properties

Label 450840v
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 450840v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.v1 450840v1 \([0, -1, 0, -5773160, -11095074900]\) \(-430468214044178/827032912875\) \(-40883331071572584192000\) \([]\) \(43794432\) \(3.0285\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840v do not have complex multiplication.

Modular form 450840.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2q^{7} + q^{9} + 5q^{11} - q^{13} - q^{15} - 7q^{19} + O(q^{20})\)  Toggle raw display