Properties

Label 71148h
Number of curves $1$
Conductor $71148$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 71148h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.k1 71148h1 \([0, -1, 0, 10361916, 8483223960]\) \(47061251888/39135393\) \(-102317541371940123871488\) \([]\) \(6048000\) \(3.1029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 71148h do not have complex multiplication.

Modular form 71148.2.a.h

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