Properties

Label 100015.a
Number of curves 1
Conductor 100015
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("100015.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100015.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100015.a1 100015a1 [0, 1, 1, -3811, 89295] [] 34944 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100015.a1 has rank \(1\).

Modular form 100015.2.a.a

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{4} - q^{5} - 2q^{7} - 2q^{9} + 2q^{11} - 2q^{12} - q^{13} - q^{15} + 4q^{16} + 2q^{17} + 4q^{19} + O(q^{20}) \)