Properties

Label 170352.a
Number of curves $1$
Conductor $170352$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 170352.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
170352.a1 170352b1 \([0, 0, 0, -17644107, 19981561210]\) \(249395415529/73513818\) \(179061935085483725463552\) \([]\) \(25159680\) \(3.1676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 170352.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 170352.a do not have complex multiplication.

Modular form 170352.2.a.a

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{7} - 3 q^{11} + 5 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display