Properties

Label 327990.h
Number of curves $1$
Conductor $327990$
CM no
Rank $0$

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

Elliptic curves in class 327990.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.h1 327990h1 \([1, 1, 0, -2514607, -1535136149]\) \(3515202588121/1901250\) \(951093492642101250\) \([]\) \(8686080\) \(2.3986\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 327990.h do not have complex multiplication.

Modular form 327990.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - 2q^{11} - q^{12} + q^{13} - q^{14} - q^{15} + q^{16} + 3q^{17} - q^{18} - 6q^{19} + O(q^{20})\)  Toggle raw display