Properties

Label 124128m
Number of curves 1
Conductor 124128
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("124128.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 124128m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
124128.a1 124128m1 [0, 0, 0, -9, -216] [] 42112 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124128m1 has rank \(1\).

Modular form 124128.2.a.a

sage: E.q_eigenform(10)
 
\( q - 3q^{5} - 4q^{7} - 5q^{11} + 4q^{13} + 6q^{17} + 7q^{19} + O(q^{20}) \)