Properties

Label 388416.h
Number of curves $1$
Conductor $388416$
CM no
Rank $0$

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

Elliptic curves in class 388416.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388416.h1 388416h1 \([0, -1, 0, -268577, -54205311]\) \(-9373256/147\) \(-33601498114523136\) \([]\) \(5170176\) \(1.9727\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388416.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388416.h do not have complex multiplication.

Modular form 388416.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} - 5 q^{11} - 6 q^{13} + 3 q^{15} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display