Properties

Label 168952e
Number of curves $1$
Conductor $168952$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 168952e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
168952.j1 168952e1 \([0, 1, 0, -2564, -51136]\) \(-61918288/431\) \(-12980920064\) \([]\) \(126720\) \(0.77420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 168952e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 168952e do not have complex multiplication.

Modular form 168952.2.a.e

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