Properties

Label 370881.k
Number of curves $1$
Conductor $370881$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 370881.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.k1 370881k1 \([1, -1, 1, -1120370, -836897484]\) \(-177625/243\) \(-212769780311642243067\) \([]\) \(10857600\) \(2.5931\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 370881.k do not have complex multiplication.

Modular form 370881.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 3 q^{8} - 6 q^{11} - 3 q^{13} - q^{16} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display