Properties

Label 5610.p
Number of curves $1$
Conductor $5610$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 5610.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5610.p1 5610p1 \([1, 0, 1, -74157234, 245812062532]\) \(-45100802713464654722769650329/4293192974400000000000\) \(-4293192974400000000000\) \([]\) \(673200\) \(3.1878\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5610.p do not have complex multiplication.

Modular form 5610.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + 3 q^{7} - q^{8} + q^{9} + q^{10} + q^{11} + q^{12} - 3 q^{14} - q^{15} + q^{16} + q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display