Properties

Label 88935a
Number of curves $1$
Conductor $88935$
CM no
Rank $0$

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

Elliptic curves in class 88935a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.z1 88935a1 \([0, -1, 1, -2462511, 660354617]\) \(161702969344/75178125\) \(767771383413289303125\) \([]\) \(2822400\) \(2.7020\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88935a do not have complex multiplication.

Modular form 88935.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} + q^{9} + 2 q^{12} - 3 q^{13} + q^{15} + 4 q^{16} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display