Properties

Label 10008d
Number of curves 1
Conductor 10008
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("10008.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10008d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10008.c1 10008d1 [0, 0, 0, 42, -151] [] 2304 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10008d1 has rank \(1\).

Modular form 10008.2.a.c

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