Properties

Label 47320.s
Number of curves $1$
Conductor $47320$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 47320.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47320.s1 47320bg1 \([0, -1, 0, -3957360, 3181060492]\) \(-693346671296498/40610171875\) \(-401443928264288000000\) \([]\) \(2096640\) \(2.7095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47320.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47320.s do not have complex multiplication.

Modular form 47320.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} - 5 q^{11} - q^{15} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display