Properties

Label 786l
Number of curves 1
Conductor 786
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("786.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 786l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
786.l1 786l1 [1, 0, 0, -42, 36] [] 280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 786l1 has rank \(1\).

Modular form 786.2.a.l

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