Properties

Label 2646.z
Number of curves $1$
Conductor $2646$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2646.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.z1 2646x1 \([1, -1, 1, -14342, -661867]\) \(-33268701/256\) \(-2510317184256\) \([]\) \(5376\) \(1.2088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2646.z do not have complex multiplication.

Modular form 2646.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{8} + q^{10} + q^{11} + 2q^{13} + q^{16} + 6q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display