Properties

Label 81232d
Number of curves 1
Conductor 81232
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("81232.d1")
sage: E.isogeny_class()

Elliptic curves in class 81232d

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
81232.d1 81232d1 [0, 0, 0, -112, -400] 1 79360 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 81232d1 has rank \(0\).

Modular form 81232.2.a.d

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