Properties

Label 397800bb
Number of curves $1$
Conductor $397800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 397800bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.bb1 397800bb1 \([0, 0, 0, -2065709592075, -1142762178126172250]\) \(-41788232654067676478925951960962/428246593676749551934035\) \(-9990136537291213547517168480000000\) \([]\) \(4737761280\) \(5.6819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 397800bb do not have complex multiplication.

Modular form 397800.2.a.bb

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