Properties

Label 36300f
Number of curves $1$
Conductor $36300$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 36300f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36300.s1 36300f1 \([0, -1, 0, -8873, 325602]\) \(-901120/3\) \(-257230657200\) \([]\) \(52272\) \(1.0543\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36300f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36300f do not have complex multiplication.

Modular form 36300.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{13} - 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display