Properties

Label 370881e
Number of curves $1$
Conductor $370881$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 370881e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.e1 370881e1 \([0, 0, 1, -11250057, -9413196732]\) \(62992384/21141\) \(52847611296026175062469\) \([]\) \(47416320\) \(3.0626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881e1 has rank \(0\).

Complex multiplication

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

Modular form 370881.2.a.e

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{10} + 2 q^{11} + 7 q^{13} - 4 q^{16} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display