Properties

Label 4536.c
Number of curves $1$
Conductor $4536$
CM no
Rank $0$

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

Elliptic curves in class 4536.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4536.c1 4536j1 \([0, 0, 0, -171, -954]\) \(-370386/49\) \(-73156608\) \([]\) \(1440\) \(0.24182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4536.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4536.c do not have complex multiplication.

Modular form 4536.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + q^{7} + 3 q^{11} - 6 q^{13} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display