Properties

Label 35136.bf
Number of curves $1$
Conductor $35136$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 35136.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35136.bf1 35136h1 \([0, 0, 0, -4428, 119664]\) \(-1860867/122\) \(-629493202944\) \([]\) \(64512\) \(1.0166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35136.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35136.bf do not have complex multiplication.

Modular form 35136.2.a.bf

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