Properties

Label 297024k
Number of curves $1$
Conductor $297024$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 297024k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297024.k1 297024k1 \([0, -1, 0, -57, -2421]\) \(-325660672/40000779\) \(-2560049856\) \([]\) \(176640\) \(0.48473\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297024k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 297024k do not have complex multiplication.

Modular form 297024.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + 6 q^{11} + q^{13} + 3 q^{15} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display