Properties

Label 48400.a
Number of curves 1
Conductor 48400
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("48400.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 48400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
48400.a1 48400bq1 [0, 0, 0, 1925, 30250] [] 138240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400.a1 has rank \(2\).

Modular form 48400.2.a.a

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - 5q^{7} + 6q^{9} - 4q^{13} + q^{17} - 5q^{19} + O(q^{20}) \)