Properties

Label 176400.bs
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 176400.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.bs1 176400he1 \([0, 0, 0, -10764075, 15636892250]\) \(-1231272543361/230400000\) \(-25809651302400000000000\) \([]\) \(14376960\) \(3.0247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400.bs do not have complex multiplication.

Modular form 176400.2.a.bs

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