Properties

Label 4732.d
Number of curves $1$
Conductor $4732$
CM no
Rank $1$

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

Elliptic curves in class 4732.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4732.d1 4732d1 \([0, 0, 0, -2327, 43342]\) \(-32209663824/117649\) \(-5089966336\) \([]\) \(2592\) \(0.72339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4732.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4732.d do not have complex multiplication.

Modular form 4732.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - 3 q^{9} + 2 q^{11} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display