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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 479808.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.bk1 | 479808bk1 | \([0, 0, 0, -62206284, 193517762704]\) | \(-1184052061112257/34349180544\) | \(-772275168814707461062656\) | \([]\) | \(61931520\) | \(3.3629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 479808.bk do not have complex multiplication.Modular form 479808.2.a.bk
sage: E.q_eigenform(10)