Properties

Label 88445.b
Number of curves $1$
Conductor $88445$
CM no
Rank $2$

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

Elliptic curves in class 88445.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.b1 88445m1 \([0, 0, 1, -300713, -63428332]\) \(196145197056/153125\) \(2347733222253125\) \([]\) \(691200\) \(1.8805\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.b1 has rank \(2\).

Complex multiplication

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

Modular form 88445.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{5} - 3 q^{9} + 2 q^{10} + 3 q^{11} - 4 q^{16} + 6 q^{18} + O(q^{20})\) Copy content Toggle raw display