Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 2646p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.t1 2646p1 \([1, -1, 1, -8021, -278099]\) \(-134162931/2048\) \(-871075731456\) \([]\) \(5940\) \(1.0937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646p1 has rank \(0\).

Complex multiplication

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

Modular form 2646.2.a.p

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