Properties

Label 349830.m
Number of curves $1$
Conductor $349830$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 349830.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
349830.m1 349830m1 \([1, -1, 0, -38310, 322856]\) \(804357/460\) \(3556112819741820\) \([]\) \(2166528\) \(1.6737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 349830.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 349830.m do not have complex multiplication.

Modular form 349830.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} - 2 q^{11} + q^{14} + q^{16} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display