Properties

Label 2704.d
Number of curves $1$
Conductor $2704$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 2704.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2704.d1 2704a1 \([0, -1, 0, -2760, 59344]\) \(-235298/13\) \(-128508962816\) \([]\) \(2688\) \(0.88944\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2704.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2704.d do not have complex multiplication.

Modular form 2704.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 5 q^{7} - 2 q^{9} - 2 q^{11} - q^{15} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display