Elliptic curve isogeny class with Cremona label 132834m (LMFDB label 132834.p)

• Label: 132834m
• Number of curves: $4$
• Conductor: $132834$
• CM: no
• Rank: $1$

Elliptic curves in class 132834m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
132834.p4	132834m1	\([1, 1, 1, -4989, 18195]\)	\(2845178713/1609728\)	\(7769849597952\)	\([2]\)	\(331776\)	\(1.1634\)	\(\Gamma_0(N)\)-optimal
132834.p2	132834m2	\([1, 1, 1, -59069, 5491091]\)	\(4722184089433/9884736\)	\(47711732687424\)	\([2, 2]\)	\(663552\)	\(1.5100\)
132834.p1	132834m3	\([1, 1, 1, -944629, 352984835]\)	\(19312898130234073/84888\)	\(409738162392\)	\([2]\)	\(1327104\)	\(1.8566\)
132834.p3	132834m4	\([1, 1, 1, -38789, 9344291]\)	\(-1337180541913/7067998104\)	\(-34115876860370136\)	\([2]\)	\(1327104\)	\(1.8566\)

Rank

The elliptic curves in class 132834m have rank \(1\).

Complex multiplication

The elliptic curves in class 132834m do not have complex multiplication.

Modular form 132834.2.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 Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.