Properties

Label 370881.h
Number of curves $1$
Conductor $370881$
CM no
Rank $0$

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

Elliptic curves in class 370881.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.h1 370881h1 \([1, -1, 1, -404259185084, 89905529625582962]\) \(170295687079857398473/17163597526568829\) \(736390324605717286995351468676766949\) \([]\) \(7643750400\) \(5.6184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 370881.h do not have complex multiplication.

Modular form 370881.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 3 q^{5} + 3 q^{8} + 3 q^{10} + 6 q^{11} + 6 q^{13} - q^{16} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display