Properties

Label 3381.l
Number of curves $1$
Conductor $3381$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 3381.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3381.l1 3381c1 \([0, -1, 1, -4720, 147237]\) \(-98867482624/20696067\) \(-2434871586483\) \([]\) \(14400\) \(1.0985\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3381.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3381.l do not have complex multiplication.

Modular form 3381.2.a.l

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