Properties

Label 37485bh
Number of curves $1$
Conductor $37485$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 37485bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37485.c1 37485bh1 \([0, 0, 1, -3423, -179132]\) \(-17738739712/45172485\) \(-11295244356795\) \([]\) \(129024\) \(1.1924\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37485bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37485bh do not have complex multiplication.

Modular form 37485.2.a.bh

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{5} + 2 q^{10} + 2 q^{11} + 5 q^{13} - 4 q^{16} + q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display