Properties

Label 369600.vi
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("vi1")
 
E.isogeny_class()
 

Elliptic curves in class 369600.vi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.vi1 369600vi1 \([0, 1, 0, 54467, 2570813]\) \(17869652393984/13156171875\) \(-13156171875000000\) \([]\) \(2709504\) \(1.7812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.vi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600.vi do not have complex multiplication.

Modular form 369600.2.a.vi

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} + q^{11} - 4 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display