Properties

Label 88935.h
Number of curves $1$
Conductor $88935$
CM no
Rank $1$

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

Elliptic curves in class 88935.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.h1 88935cm1 \([0, 1, 1, 49173150, 131263165226]\) \(63090423356788736/72214645051395\) \(-15051148198894071629674155\) \([]\) \(25159680\) \(3.5175\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88935.h do not have complex multiplication.

Modular form 88935.2.a.h

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