Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 369600.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.m1 369600m1 \([0, -1, 0, -196833, -42638463]\) \(-8236063705/2927232\) \(-299748556800000000\) \([]\) \(5806080\) \(2.0644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.m1 has rank \(1\).

Complex multiplication

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

Modular form 369600.2.a.m

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