Properties

Label 59248.j
Number of curves $1$
Conductor $59248$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 59248.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59248.j1 59248l1 \([0, -1, 0, -84, -305]\) \(-340736/49\) \(-9538928\) \([]\) \(9216\) \(0.069922\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59248.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59248.j do not have complex multiplication.

Modular form 59248.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{7} - 2 q^{9} + q^{13} + 2 q^{15} - 8 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display