Properties

Label 38962.i
Number of curves $1$
Conductor $38962$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 38962.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38962.i1 38962g1 \([1, -1, 0, -8069, -448651]\) \(-271063881/252448\) \(-54114470790688\) \([]\) \(190080\) \(1.3317\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38962.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38962.i do not have complex multiplication.

Modular form 38962.2.a.i

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