Properties

Label 379050.hw
Number of curves $1$
Conductor $379050$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("hw1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.hw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.hw1 379050hw1 \([1, 0, 0, -55711513, -145459526983]\) \(576500549021/58084992\) \(1926738522203087250000000\) \([]\) \(91929600\) \(3.3959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.hw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 379050.hw do not have complex multiplication.

Modular form 379050.2.a.hw

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