Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 370881.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.m1 370881m1 \([1, -1, 1, -7727, -409642572]\) \(-1/1421\) \(-72493293958883642061\) \([]\) \(9676800\) \(2.4897\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881.m1 has rank \(1\).

Complex multiplication

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

Modular form 370881.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + q^{5} + 3 q^{8} - q^{10} - 5 q^{11} + 5 q^{13} - q^{16} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display