Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 450840.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.ch1 450840ch1 \([0, 1, 0, 168680, 1607600]\) \(3103032160078/1801814625\) \(-308202207835392000\) \([]\) \(8335872\) \(2.0452\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.ch1 has rank \(0\).

Complex multiplication

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

Modular form 450840.2.a.ch

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 4 q^{7} + q^{9} + 4 q^{11} - q^{13} + q^{15} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display