Properties

Label 103488.h
Number of curves $1$
Conductor $103488$
CM no
Rank $0$

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

Elliptic curves in class 103488.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.h1 103488bi1 \([0, -1, 0, -32667777, 71877556521]\) \(-93303976999933696/2910897\) \(-120284358200810496\) \([]\) \(6021120\) \(2.7814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 103488.h do not have complex multiplication.

Modular form 103488.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - q^{11} - q^{13} + 3 q^{15} - 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display