Properties

Label 104778f
Number of curves $1$
Conductor $104778$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 104778f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104778.g1 104778f1 \([1, -1, 1, -146, -611]\) \(469097433/23284\) \(16974036\) \([]\) \(64736\) \(0.14627\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104778f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 104778f do not have complex multiplication.

Modular form 104778.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} - 4 q^{7} + q^{8} + 3 q^{10} + 6 q^{11} - 6 q^{13} - 4 q^{14} + q^{16} + 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display