Properties

Label 87120.b
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 87120.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.b1 87120bl1 \([0, 0, 0, 84288237, 490848499933]\) \(218902267299584/470715894135\) \(-142407619059186390214934640\) \([]\) \(27202560\) \(3.7026\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 87120.b do not have complex multiplication.

Modular form 87120.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} - 2 q^{13} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display