Properties

Label 88445.v
Number of curves $1$
Conductor $88445$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 88445.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.v1 88445n1 \([0, 1, 1, 82549, 88621726]\) \(32768/1805\) \(-3426740142081194435\) \([]\) \(806400\) \(2.2362\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88445.v do not have complex multiplication.

Modular form 88445.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{5} - 2 q^{9} - 3 q^{11} - 2 q^{12} + q^{13} - q^{15} + 4 q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display