Elliptic curve isogeny class with LMFDB label 37180.b (Cremona label 37180i)

• Label: 37180.b
• Number of curves: $2$
• Conductor: $37180$
• CM: no
• Rank: $2$

Elliptic curves in class 37180.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
37180.b1	37180i1	\([0, 1, 0, -301045, 63543975]\)	\(-2441851961344/3020875\)	\(-3732783779296000\)	\([]\)	\(290304\)	\(1.8975\)	\(\Gamma_0(N)\)-optimal
37180.b2	37180i2	\([0, 1, 0, 401995, 295160503]\)	\(5814126903296/33794921875\)	\(-41759138063500000000\)	\([]\)	\(870912\)	\(2.4468\)

Rank

The elliptic curves in class 37180.b have rank \(2\).

Complex multiplication

The elliptic curves in class 37180.b do not have complex multiplication.

Modular form 37180.2.a.b

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.