Properties

Label 481338q
Number of curves $1$
Conductor $481338$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 481338q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
481338.q1 481338q1 \([1, -1, 0, -213120, -38043648]\) \(-12136251903750601/84760805376\) \(-7476665881411584\) \([]\) \(3870720\) \(1.8794\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 481338q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 481338q do not have complex multiplication.

Modular form 481338.2.a.q

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