Properties

Label 324928h
Number of curves $1$
Conductor $324928$
CM no
Rank $0$

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

Elliptic curves in class 324928h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324928.h1 324928h1 \([0, 0, 0, -28, 50]\) \(37933056/5077\) \(324928\) \([]\) \(158720\) \(-0.21482\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324928h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 324928h do not have complex multiplication.

Modular form 324928.2.a.h

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 4 q^{5} - 4 q^{7} + 6 q^{9} + 6 q^{11} + 4 q^{13} + 12 q^{15} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display