Properties

Label 53550.eh
Number of curves $1$
Conductor $53550$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("eh1")
 
E.isogeny_class()
 

Elliptic curves in class 53550.eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53550.eh1 53550dy1 \([1, -1, 1, -410, 9497]\) \(-417267265/1850688\) \(-33728788800\) \([]\) \(34560\) \(0.70503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53550.eh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 53550.eh do not have complex multiplication.

Modular form 53550.2.a.eh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} + 2 q^{11} + q^{14} + q^{16} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display