Elliptic curve isogeny class with Cremona label 1006d (LMFDB label 1006.d)

• Label: 1006d
• Number of curves: $1$
• Conductor: $1006$
• CM: no
• Rank: $1$

Elliptic curves in class 1006d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1006.d1	1006d1	$[1, 1, 1, -23, 45]$	$-1349232625/515072$	$-515072$	$[]$	$120$	$-0.19440$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 1006d1 has rank $1$.

Complex multiplication

The elliptic curves in class 1006d do not have complex multiplication.

Modular form 1006.2.a.d