Properties

Label 49686.dl
Number of curves $1$
Conductor $49686$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 49686.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
49686.dl1 49686dj1 \([1, 0, 0, -35526, -1808262]\) \(249395415529/73513818\) \(1461651792386058\) \([]\) \(483840\) \(1.6156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 49686.dl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 49686.dl do not have complex multiplication.

Modular form 49686.2.a.dl

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + 4 q^{5} + q^{6} + q^{8} + q^{9} + 4 q^{10} + 3 q^{11} + q^{12} + 4 q^{15} + q^{16} + 5 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display