Properties

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

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 35280bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.eh1 35280bw1 \([0, 0, 0, -105987, 15448034]\) \(-15298178/3125\) \(-26896255545600000\) \([]\) \(241920\) \(1.8748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280bw1 has rank \(1\).

Complex multiplication

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

Modular form 35280.2.a.bw

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