Properties

Label 100026.a
Number of curves $1$
Conductor $100026$
CM no
Rank $1$

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

Elliptic curves in class 100026.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100026.a1 100026b1 \([1, -1, 0, 380495349, 3705099956613]\) \(8356881438253882869174959183/12971548215548035842654144\) \(-9456258649134518129294870976\) \([]\) \(77192832\) \(4.0533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100026.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100026.a do not have complex multiplication.

Modular form 100026.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} + 2 q^{7} - q^{8} + 3 q^{10} - 4 q^{11} + 4 q^{13} - 2 q^{14} + q^{16} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display