Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 2646.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.c1 2646d1 \([1, -1, 0, -43668, -3547440]\) \(-134162931/2048\) \(-140577762318336\) \([]\) \(13860\) \(1.5173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.c1 has rank \(0\).

Complex multiplication

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

Modular form 2646.2.a.c

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