Properties

Label 4508.c
Number of curves $1$
Conductor $4508$
CM no
Rank $1$

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

Elliptic curves in class 4508.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4508.c1 4508a1 \([0, 1, 0, 82, 2225]\) \(32000/1127\) \(-2121446768\) \([]\) \(1152\) \(0.46954\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4508.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4508.c do not have complex multiplication.

Modular form 4508.2.a.c

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