Properties

Label 35136.g
Number of curves $1$
Conductor $35136$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 35136.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35136.g1 35136cr1 \([0, 0, 0, -1164, 16144]\) \(-912673/61\) \(-11657281536\) \([]\) \(24576\) \(0.68357\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35136.g1 has rank \(2\).

Complex multiplication

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

Modular form 35136.2.a.g

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