Properties

Label 35280dv
Number of curves $1$
Conductor $35280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dv1")
 
E.isogeny_class()
 

Elliptic curves in class 35280dv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.a1 35280dv1 \([0, 0, 0, -44688, 5992112]\) \(-1376628736/1366875\) \(-9799601978880000\) \([]\) \(215040\) \(1.7642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280dv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35280dv do not have complex multiplication.

Modular form 35280.2.a.dv

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