Properties

Label 363726h
Number of curves $1$
Conductor $363726$
CM no
Rank $1$

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

Elliptic curves in class 363726h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.h1 363726h1 \([1, -1, 0, -554868, -159899184]\) \(-14628828571993/101578752\) \(-131185704538994688\) \([]\) \(5068800\) \(2.1184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 363726h do not have complex multiplication.

Modular form 363726.2.a.h

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