Properties

Label 207936.hm
Number of curves $1$
Conductor $207936$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hm1")
 
E.isogeny_class()
 

Elliptic curves in class 207936.hm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207936.hm1 207936gx1 \([0, 0, 0, -5514636, -4984517608]\) \(1462911232\) \(12678161875854336\) \([]\) \(4596480\) \(2.4049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207936.hm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 207936.hm do not have complex multiplication.

Modular form 207936.2.a.hm

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