Properties

Label 303600p
Number of curves $1$
Conductor $303600$
CM no
Rank $1$

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

Elliptic curves in class 303600p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.p1 303600p1 \([0, -1, 0, -252094008, -1540662073488]\) \(-27684157359106812821041/2890879200000000\) \(-185016268800000000000000\) \([]\) \(58392576\) \(3.4966\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 303600p do not have complex multiplication.

Modular form 303600.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - q^{11} + 3 q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display