Properties

Label 283024c
Number of curves $1$
Conductor $283024$
CM no
Rank $1$

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

Elliptic curves in class 283024c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283024.c1 283024c1 \([0, 0, 0, -2527, 48013]\) \(48384\) \(36883970704\) \([]\) \(324000\) \(0.81786\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283024c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 283024c do not have complex multiplication.

Modular form 283024.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 6 q^{9} + q^{11} + 2 q^{13} - 3 q^{15} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display