Properties

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

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

Elliptic curves in class 369600.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.w1 369600w1 \([0, -1, 0, -23233, -2660063]\) \(-67721774600/110937519\) \(-2272000389120000\) \([]\) \(1797120\) \(1.6376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.w1 has rank \(1\).

Complex multiplication

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

Modular form 369600.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} - 4 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display