Properties

Label 3696bb
Number of curves $1$
Conductor $3696$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 3696bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3696.r1 3696bb1 \([0, 1, 0, 25158, 775719]\) \(110056273881297152/79587574568271\) \(-1273401193092336\) \([]\) \(16800\) \(1.5867\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3696bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3696bb do not have complex multiplication.

Modular form 3696.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{7} + q^{9} + q^{11} + q^{13} - 3 q^{15} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display