Elliptic curve isogeny class with LMFDB label 7935.d (Cremona label 7935b)

• Label: 7935.d
• Number of curves: $8$
• Conductor: $7935$
• CM: no
• Rank: $0$

Elliptic curves in class 7935.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7935.d1	7935b7	\([1, 1, 1, -1142651, 469654508]\)	\(1114544804970241/405\)	\(59954535045\)	\([2]\)	\(50688\)	\(1.8586\)
7935.d2	7935b5	\([1, 1, 1, -71426, 7313798]\)	\(272223782641/164025\)	\(24281586693225\)	\([2, 2]\)	\(25344\)	\(1.5120\)
7935.d3	7935b8	\([1, 1, 1, -58201, 10122788]\)	\(-147281603041/215233605\)	\(-31862298058849845\)	\([2]\)	\(50688\)	\(1.8586\)
7935.d4	7935b3	\([1, 1, 1, -42331, -3369886]\)	\(56667352321/15\)	\(2220538335\)	\([2]\)	\(12672\)	\(1.1655\)
7935.d5	7935b4	\([1, 1, 1, -5301, 66498]\)	\(111284641/50625\)	\(7494316880625\)	\([2, 2]\)	\(12672\)	\(1.1655\)
7935.d6	7935b2	\([1, 1, 1, -2656, -53056]\)	\(13997521/225\)	\(33308075025\)	\([2, 2]\)	\(6336\)	\(0.81890\)
7935.d7	7935b1	\([1, 1, 1, -11, -2272]\)	\(-1/15\)	\(-2220538335\)	\([2]\)	\(3168\)	\(0.47232\)	\(\Gamma_0(N)\)-optimal
7935.d8	7935b6	\([1, 1, 1, 18504, 523554]\)	\(4733169839/3515625\)	\(-520438672265625\)	\([2]\)	\(25344\)	\(1.5120\)

Rank

The elliptic curves in class 7935.d have rank \(0\).

Complex multiplication

The elliptic curves in class 7935.d do not have complex multiplication.

Modular form 7935.2.a.d

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.

\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 16 & 4 & 8 & 16 & 8 \\ 2 & 1 & 2 & 8 & 2 & 4 & 8 & 4 \\ 4 & 2 & 1 & 16 & 4 & 8 & 16 & 8 \\ 16 & 8 & 16 & 1 & 4 & 2 & 4 & 8 \\ 4 & 2 & 4 & 4 & 1 & 2 & 4 & 2 \\ 8 & 4 & 8 & 2 & 2 & 1 & 2 & 4 \\ 16 & 8 & 16 & 4 & 4 & 2 & 1 & 8 \\ 8 & 4 & 8 & 8 & 2 & 4 & 8 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.