Properties

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

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Show commands: SageMath
E = EllipticCurve("hp1")
 
E.isogeny_class()
 

Elliptic curves in class 297024hp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297024.hp1 297024hp1 \([0, 1, 0, -11649, 480069]\) \(-2731787761881088/19171971\) \(-1227006144\) \([]\) \(330240\) \(0.92336\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297024hp1 has rank \(1\).

Complex multiplication

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

Modular form 297024.2.a.hp

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{7} + q^{9} + 2 q^{11} - q^{13} + 3 q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display