Properties

Label 35525l
Number of curves $1$
Conductor $35525$
CM no
Rank $1$

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

Elliptic curves in class 35525l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35525.n1 35525l1 \([1, 1, 0, -25, 77750]\) \(-1/1421\) \(-2612175453125\) \([]\) \(53760\) \(1.0615\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35525l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35525l do not have complex multiplication.

Modular form 35525.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} - 3 q^{8} - 2 q^{9} - 5 q^{11} + q^{12} - 5 q^{13} - q^{16} - 4 q^{17} - 2 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display