Properties

Label 4258363.a
Number of curves $1$
Conductor $4258363$
CM no
Rank $4$

Related objects

Downloads

Learn more

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

Elliptic curves in class 4258363.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4258363.a1 \([0, 1, 1, -110, 420]\) \(-148540174336/4258363\) \(-4258363\) \([]\) \(2268768\) \(0.051661\)

Rank

sage: E.rank()
 

The elliptic curve 4258363.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4258363.a do not have complex multiplication.

Modular form 4258363.2.a.a

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