Properties

Label 351310.h
Number of curves $1$
Conductor $351310$
CM no
Rank $1$

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

Elliptic curves in class 351310.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
351310.h1 351310h1 \([1, -1, 0, -88174, -10738732]\) \(-11993263569/972800\) \(-6149421974067200\) \([]\) \(7022400\) \(1.7758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 351310.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 351310.h do not have complex multiplication.

Modular form 351310.2.a.h

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