Elliptic curve isogeny class with LMFDB label 103428.bd (Cremona label 103428m)

• Label: 103428.bd
• Number of curves: $1$
• Conductor: $103428$
• CM: no
• Rank: $1$

Rank

The elliptic curve 103428.bd1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$13$	$1$
$17$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - 3 T + 5 T^{2}$	1.5.ad
$7$	$1 - 4 T + 7 T^{2}$	1.7.ae
$11$	$1 + T + 11 T^{2}$	1.11.b
$19$	$1 - 4 T + 19 T^{2}$	1.19.ae
$23$	$1 + 3 T + 23 T^{2}$	1.23.d
$29$	$1 + 3 T + 29 T^{2}$	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 103428.bd do not have complex multiplication.

Modular form 103428.2.a.bd

Elliptic curves in class 103428.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
103428.bd1	103428m1	$[0, 0, 0, -105456, -13223743]$	$-13631488/51$	$-485248839616944$	$[]$	$464256$	$1.6778$	$\Gamma_0(N)$-optimal