Properties

Label 10350.b
Number of curves $1$
Conductor $10350$
CM no
Rank $0$

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

Elliptic curves in class 10350.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10350.b1 10350z1 \([1, -1, 0, 1758, 208916]\) \(2109375/67712\) \(-19282050000000\) \([]\) \(35280\) \(1.2292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10350.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10350.b do not have complex multiplication.

Modular form 10350.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 4 q^{7} - q^{8} - 3 q^{11} + 6 q^{13} + 4 q^{14} + q^{16} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display