Elliptic curve isogeny class with LMFDB label 25152.g (Cremona label 25152bg)

• Label: 25152.g
• Number of curves: $4$
• Conductor: $25152$
• CM: no
• Rank: $1$

Elliptic curves in class 25152.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25152.g1	25152bg4	\([0, -1, 0, -357729, -82233855]\)	\(19312898130234073/84888\)	\(22252879872\)	\([2]\)	\(110592\)	\(1.6138\)
25152.g2	25152bg2	\([0, -1, 0, -22369, -1277951]\)	\(4722184089433/9884736\)	\(2591224233984\)	\([2, 2]\)	\(55296\)	\(1.2672\)
25152.g3	25152bg3	\([0, -1, 0, -14689, -2176511]\)	\(-1337180541913/7067998104\)	\(-1852833294974976\)	\([4]\)	\(110592\)	\(1.6138\)
25152.g4	25152bg1	\([0, -1, 0, -1889, -4095]\)	\(2845178713/1609728\)	\(421980536832\)	\([2]\)	\(27648\)	\(0.92066\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 25152.g have rank \(1\).

Complex multiplication

The elliptic curves in class 25152.g do not have complex multiplication.

Modular form 25152.2.a.g

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.