Properties

Label 333270.fd
Number of curves $1$
Conductor $333270$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("fd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 333270.fd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333270.fd1 333270fd1 \([1, -1, 1, 73, -429]\) \(3050973/6860\) \(-97981380\) \([]\) \(133632\) \(0.21748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333270.fd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333270.fd do not have complex multiplication.

Modular form 333270.2.a.fd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} + 5q^{11} + q^{13} + q^{14} + q^{16} - 5q^{19} + O(q^{20})\)  Toggle raw display