# Properties

 Label 234446.a Number of curves 1 Conductor $234446$ CM no Rank $4$ Graph

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("234446.a1")
sage: E.isogeny_class()

## Elliptic curves in class 234446.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
234446.a1 234446a1 [1, -1, 0, -79, 289] 1 334976 $\Gamma_0(N)$-optimal

## Rank

sage: E.rank()

The elliptic curves in class 234446.a have rank $4$.

## Modular form 234446.2.1.a

sage: E.q_eigenform(10)
$q - q^{2} - 3q^{3} + q^{4} - 4q^{5} + 3q^{6} - 5q^{7} - q^{8} + 6q^{9} + 4q^{10} - 6q^{11} - 3q^{12} - 6q^{13} + 5q^{14} + 12q^{15} + q^{16} - 6q^{17} - 6q^{18} - 8q^{19} + O(q^{20})$