Properties

Label 335405g
Number of curves $1$
Conductor $335405$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 335405g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
335405.g1 335405g1 \([0, 0, 1, -9583, 620499]\) \(-110592/125\) \(-110005519785875\) \([]\) \(2495232\) \(1.3887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 335405g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 335405g do not have complex multiplication.

Modular form 335405.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - 3 q^{3} + 2 q^{4} - q^{5} - 6 q^{6} + 6 q^{9} - 2 q^{10} + q^{11} - 6 q^{12} + 3 q^{13} + 3 q^{15} - 4 q^{16} - 3 q^{17} + 12 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display