Properties

Label 2548.a
Number of curves $1$
Conductor $2548$
CM no
Rank $2$

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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 \([0, 0, 0, -49, 49]\) \(338688/169\) \(6492304\) \([]\) \(1008\) \(0.000043676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2548.a1 has rank \(2\).

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)
 
\(q - 3 q^{3} - 3 q^{5} + 6 q^{9} - 5 q^{11} - q^{13} + 9 q^{15} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display