Properties

Label 10626.l
Number of curves $1$
Conductor $10626$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10626.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10626.l1 10626m1 \([1, 1, 1, -13, -25]\) \(-244140625/21252\) \(-21252\) \([]\) \(928\) \(-0.42546\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10626.l1 has rank \(0\).

Complex multiplication

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

Modular form 10626.2.a.l

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