Properties

Label 405600eq
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("eq1")
 
E.isogeny_class()
 

Elliptic curves in class 405600eq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.eq1 405600eq1 \([0, 1, 0, 281667, -93482037]\) \(12800/27\) \(-5212953720000000000\) \([]\) \(6462720\) \(2.2758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600eq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600eq do not have complex multiplication.

Modular form 405600.2.a.eq

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