Properties

Label 76.a
Number of curves 1
Conductor 76
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("76.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 76.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
76.a1 76a1 [0, -1, 0, -21, -31] [] 6 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76.a1 has rank \(0\).

Modular form 76.2.a.a

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