Properties

Label 237021a
Number of curves $1$
Conductor $237021$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 237021a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237021.a1 237021a1 \([0, -1, 1, -20732, 442772]\) \(207474688/102789\) \(488258464828149\) \([]\) \(1935360\) \(1.5115\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237021a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 237021a do not have complex multiplication.

Modular form 237021.2.a.a

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