Properties

Label 359696a
Number of curves $1$
Conductor $359696$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 359696a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
359696.a1 359696a1 \([0, 0, 0, 101, -246]\) \(27818127/22481\) \(-92082176\) \([]\) \(137728\) \(0.21603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 359696a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 359696a do not have complex multiplication.

Modular form 359696.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 4 q^{7} - 3 q^{9} + 5 q^{11} - 5 q^{13} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display