Properties

Label 412224n
Number of curves $1$
Conductor $412224$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 412224n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.n1 412224n1 \([0, -1, 0, -673, 6913]\) \(1030301000/6441\) \(211058688\) \([]\) \(130048\) \(0.43501\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224n1 has rank \(1\).

Complex multiplication

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

Modular form 412224.2.a.n

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