Properties

Label 35520c
Number of curves $1$
Conductor $35520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 35520c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35520.f1 35520c1 \([0, -1, 0, 9, 405]\) \(1124864/1123875\) \(-71928000\) \([]\) \(9600\) \(0.18660\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35520c1 has rank \(1\).

Complex multiplication

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

Modular form 35520.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} - 6 q^{11} + 5 q^{13} + q^{15} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display