Properties

Label 36504.c
Number of curves $1$
Conductor $36504$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 36504.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36504.c1 36504j1 \([0, 0, 0, -18252, -1186380]\) \(-3072\) \(-218894011884288\) \([]\) \(168480\) \(1.4642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36504.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36504.c do not have complex multiplication.

Modular form 36504.2.a.c

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