Elliptic curve isogeny class with LMFDB label 19950.a (Cremona label 19950a)

• Label: 19950.a
• Number of curves: $4$
• Conductor: $19950$
• CM: no
• Rank: $0$

Elliptic curves in class 19950.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19950.a1	19950a3	\([1, 1, 0, -3709275, 2745640125]\)	\(361219316414914078129/378697617819360\)	\(5917150278427500000\)	\([2]\)	\(737280\)	\(2.5192\)
19950.a2	19950a2	\([1, 1, 0, -289275, 19900125]\)	\(171332100266282929/88068464870400\)	\(1376069763600000000\)	\([2, 2]\)	\(368640\)	\(2.1727\)
19950.a3	19950a1	\([1, 1, 0, -161275, -24771875]\)	\(29689921233686449/307510640640\)	\(4804853760000000\)	\([2]\)	\(184320\)	\(1.8261\)	\(\Gamma_0(N)\)-optimal
19950.a4	19950a4	\([1, 1, 0, 1082725, 155728125]\)	\(8983747840943130191/5865547515660000\)	\(-91649179932187500000\)	\([2]\)	\(737280\)	\(2.5192\)

Rank

The elliptic curves in class 19950.a have rank \(0\).

Complex multiplication

The elliptic curves in class 19950.a do not have complex multiplication.

Modular form 19950.2.a.a

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.