Elliptic curve isogeny class with LMFDB label 302330.t (Cremona label 302330t)

• Label: 302330.t
• Number of curves: $2$
• Conductor: $302330$
• CM: no
• Rank: $2$

Elliptic curves in class 302330.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
302330.t1	302330t2	\([1, 0, 0, -72125061, 235756032385]\)	\(1028252875738853529127/9640625000000\)	\(389033992484375000000\)	\([2]\)	\(33546240\)	\(3.1139\)
302330.t2	302330t1	\([1, 0, 0, -4403141, 3862633921]\)	\(-233953279237800487/24364096000000\)	\(-983179154894272000000\)	\([2]\)	\(16773120\)	\(2.7673\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 302330.t have rank \(2\).

Complex multiplication

The elliptic curves in class 302330.t do not have complex multiplication.

Modular form 302330.2.a.t

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.