Properties

Label 73036.a
Number of curves $1$
Conductor $73036$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 73036.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73036.a1 73036a1 \([0, 1, 0, -20501, 1127431]\) \(-4194304/19\) \(-4316817904384\) \([]\) \(181440\) \(1.2761\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73036.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 73036.a do not have complex multiplication.

Modular form 73036.2.a.a

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