Properties

Label 36300.p
Number of curves $1$
Conductor $36300$
CM no
Rank $0$

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

Elliptic curves in class 36300.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36300.p1 36300y1 \([0, -1, 0, 24402, -1051983]\) \(30976/27\) \(-1400620928454000\) \([]\) \(133056\) \(1.5938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36300.p1 has rank \(0\).

Complex multiplication

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

Modular form 36300.2.a.p

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