Elliptic curve isogeny class with Cremona label 1007a (LMFDB label 1007.a)

• Label: 1007a
• Number of curves: $1$
• Conductor: $1007$
• CM: no
• Rank: $1$

Elliptic curves in class 1007a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1007.a1	1007a1	$[0, 0, 1, 61, -105]$	$25102282752/19266931$	$-19266931$	$[]$	$276$	$0.085908$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 1007a1 has rank $1$.

Complex multiplication

The elliptic curves in class 1007a do not have complex multiplication.

Modular form 1007.2.a.a