Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 412224.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.q1 412224q1 \([0, -1, 0, -7713, 271809]\) \(-193602111625/7420032\) \(-1945116868608\) \([]\) \(1225728\) \(1.1277\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224.q1 has rank \(0\).

Complex multiplication

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

Modular form 412224.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{7} + q^{9} + 6 q^{11} + 7 q^{13} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display