Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ib1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 369600.ib

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.ib1 369600ib1 \([0, -1, 0, 2335167, 15673677537]\) \(13752365416655/1044457193472\) \(-106952416611532800000000\) \([]\) \(31795200\) \(3.0984\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.ib1 has rank \(0\).

Complex multiplication

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

Modular form 369600.2.a.ib

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} + q^{13} + 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display