Properties

Label 412224s
Number of curves $1$
Conductor $412224$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 412224s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.s1 412224s1 \([0, -1, 0, -89365, -10252787]\) \(-4817381180637184/2183499\) \(-35774447616\) \([]\) \(1032192\) \(1.3646\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412224s do not have complex multiplication.

Modular form 412224.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} - 5 q^{11} + 2 q^{13} - q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display