Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 81232d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81232.d1 81232d1 \([0, 0, 0, -112, -400]\) \(37933056/5077\) \(20795392\) \([]\) \(79360\) \(0.13176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 81232d do not have complex multiplication.

Modular form 81232.2.a.d

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