Properties

Label 6048.c
Number of curves 1
Conductor 6048
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("6048.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6048.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
6048.c1 6048l1 [0, 0, 0, -42444, 3366144] [] 11520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.c1 has rank \(1\).

Modular form 6048.2.a.c

sage: E.q_eigenform(10)
 
\( q - 3q^{5} + q^{7} + q^{11} + 2q^{13} - 2q^{17} - 3q^{19} + O(q^{20}) \)