Properties

Label 235200.bc
Number of curves $1$
Conductor $235200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 235200.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.bc1 235200bc1 \([0, -1, 0, -999833, 385137537]\) \(-805661175040/729\) \(-100018800000000\) \([]\) \(2211840\) \(1.9847\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235200.bc do not have complex multiplication.

Modular form 235200.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5 q^{11} + 2 q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display