Elliptic curve isogeny class with LMFDB label 11025.m (Cremona label 11025bh)

• Label: 11025.m
• Number of curves: $2$
• Conductor: $11025$
• CM: no
• Rank: $1$

Elliptic curves in class 11025.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11025.m1	11025bh2	$[1, -1, 1, -2294115305, -42292668425178]$	$-162677523113838677$	$-8208085798828125$	$[]$	$1864800$	$3.5975$
11025.m2	11025bh1	$[1, -1, 1, -88430, 11042322]$	$-9317$	$-8208085798828125$	$[]$	$50400$	$1.7920$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 11025.m have rank $1$.

Complex multiplication

The elliptic curves in class 11025.m do not have complex multiplication.

Modular form 11025.2.a.m

Isogeny matrix

The $i,j$ entry is the smallest degree of a cyclic isogeny between the $i$-th and $j$-th curve in the isogeny class, in the LMFDB numbering.

$\left(\begin{array}{rr} 1 & 37 \\ 37 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.