Elliptic curve isogeny class with Cremona label 337896bc (LMFDB label 337896.bc)

• Label: 337896bc
• Number of curves: $1$
• Conductor: $337896$
• CM: no
• Rank: $2$

Elliptic curves in class 337896bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
337896.bc1	337896bc1	$[0, 0, 0, -162152175, 797916091763]$	$-859256706676000000/3965752347687$	$-2176179459120721642609008$	$[]$	$58060800$	$3.5208$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 337896bc1 has rank $2$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$13$	$1 - T$
$19$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + 5 T^{2}$	1.5.a
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 - 4 T + 11 T^{2}$	1.11.ae
$17$	$1 + 7 T + 17 T^{2}$	1.17.h
$23$	$1 - T + 23 T^{2}$	1.23.ab
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 337896bc do not have complex multiplication.

Modular form 337896.2.a.bc