Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 369600.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.p1 369600p1 \([0, -1, 0, -33, 2937]\) \(-256/231\) \(-3696000000\) \([]\) \(215040\) \(0.51490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.p1 has rank \(0\).

Complex multiplication

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

Modular form 369600.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} - 5 q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display