Properties

Label 377520.h
Number of curves $1$
Conductor $377520$
CM no
Rank $1$

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

Elliptic curves in class 377520.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.h1 377520h1 \([0, -1, 0, -33294521, 73956479445]\) \(-74380756680592384/748446075\) \(-41071632160215571200\) \([]\) \(29736960\) \(2.9225\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 377520.h do not have complex multiplication.

Modular form 377520.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + q^{13} + q^{15} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display