Properties

Label 35280ea
Number of curves $1$
Conductor $35280$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 35280ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.bv1 35280ea1 \([0, 0, 0, -1008, 21168]\) \(-110592/125\) \(-128024064000\) \([]\) \(26880\) \(0.82569\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280ea1 has rank \(0\).

Complex multiplication

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

Modular form 35280.2.a.ea

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