Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 2646.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.s1 2646u1 \([1, -1, 1, -41, 137]\) \(-89373/32\) \(-2667168\) \([]\) \(480\) \(-0.056192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.s1 has rank \(1\).

Complex multiplication

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

Modular form 2646.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{5} + q^{8} - 2 q^{10} - 2 q^{11} - q^{13} + q^{16} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display