Properties

Label 28322s
Number of curves $1$
Conductor $28322$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 28322s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.x1 28322s1 \([1, -1, 1, 2402, 615213]\) \(1296351/139264\) \(-164713226051584\) \([]\) \(89856\) \(1.4073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28322s do not have complex multiplication.

Modular form 28322.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{8} - 3 q^{9} - q^{10} + 6 q^{11} - 4 q^{13} + q^{16} - 3 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display