Properties

Label 10626.c
Number of curves $1$
Conductor $10626$
CM no
Rank $1$

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

Elliptic curves in class 10626.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10626.c1 10626c1 \([1, 1, 0, 591434, 331007572]\) \(22879231194490519393943/60502362714028376064\) \(-60502362714028376064\) \([]\) \(397440\) \(2.4794\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10626.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10626.c do not have complex multiplication.

Modular form 10626.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 3 q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - 3 q^{10} + q^{11} - q^{12} - 3 q^{13} - q^{14} - 3 q^{15} + q^{16} + 4 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display