Properties

Label 297024.h
Number of curves $1$
Conductor $297024$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 297024.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297024.h1 297024h1 \([0, -1, 0, -97377, 11729889]\) \(-779089619053874/115296363\) \(-15112124891136\) \([]\) \(1492992\) \(1.5428\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297024.h1 has rank \(2\).

Complex multiplication

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

Modular form 297024.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} - 4 q^{11} + q^{13} + 3 q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display