Properties

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

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 283024cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283024.cf1 283024cf1 \([0, 1, 0, -288920, -55601113]\) \(12544\) \(212628751198389904\) \([]\) \(2413152\) \(2.0683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283024cf1 has rank \(1\).

Complex multiplication

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

Modular form 283024.2.a.cf

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