Properties

Label 8048.i
Number of curves $1$
Conductor $8048$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("8048.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8048.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
8048.i1 8048c1 [0, 1, 0, 12, -4] [] 768 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8048.i1 has rank \(0\).

Modular form 8048.2.a.i

sage: E.q_eigenform(10)
 
\( q + q^{3} + 5q^{7} - 2q^{9} + 5q^{11} + q^{13} - 4q^{17} + 4q^{19} + O(q^{20}) \)