Properties

Label 370881.b
Number of curves $1$
Conductor $370881$
CM no
Rank $1$

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

Elliptic curves in class 370881.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.b1 370881b1 \([0, 0, 1, -17661, -3286418]\) \(-4096/29\) \(-4313279821436523\) \([]\) \(2419200\) \(1.6832\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 370881.b do not have complex multiplication.

Modular form 370881.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 2 q^{5} + 4 q^{10} + 2 q^{13} - 4 q^{16} - 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display