Properties

Label 31200.w
Number of curves $1$
Conductor $31200$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 31200.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.w1 31200k1 \([0, -1, 0, -19633, -1054463]\) \(-326938350400/767637\) \(-1965150720000\) \([]\) \(92160\) \(1.2392\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 31200.w do not have complex multiplication.

Modular form 31200.2.a.w

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