Properties

Label 98736.w
Number of curves $1$
Conductor $98736$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 98736.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98736.w1 98736ck1 \([0, -1, 0, -18, -9]\) \(352000/153\) \(296208\) \([]\) \(9216\) \(-0.25397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98736.w1 has rank \(2\).

Complex multiplication

The elliptic curves in class 98736.w do not have complex multiplication.

Modular form 98736.2.a.w

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