Properties

Label 35520.g
Number of curves $1$
Conductor $35520$
CM no
Rank $0$

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

Elliptic curves in class 35520.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35520.g1 35520g1 \([0, -1, 0, 59, -419]\) \(1362944/4995\) \(-81838080\) \([]\) \(7680\) \(0.20123\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35520.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35520.g do not have complex multiplication.

Modular form 35520.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + 3 q^{13} + q^{15} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display