Properties

Label 2548.a
Number of curves 11
Conductor 25482548
CM no
Rank 22

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 2548.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2548.a1 2548a1 [0,0,0,49,49][0, 0, 0, -49, 49] 338688/169338688/169 64923046492304 [][] 10081008 0.0000436760.000043676 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2548.a1 has rank 22.

Complex multiplication

The elliptic curves in class 2548.a do not have complex multiplication.

Modular form 2548.2.a.a

sage: E.q_eigenform(10)
 
q3q33q5+6q95q11q13+9q15q177q19+O(q20)q - 3 q^{3} - 3 q^{5} + 6 q^{9} - 5 q^{11} - q^{13} + 9 q^{15} - q^{17} - 7 q^{19} + O(q^{20}) Copy content Toggle raw display