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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 405600.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405600.bk1 | 405600bk1 | \([0, -1, 0, 9428792, -265185416588]\) | \(43709080/14348907\) | \(-30432595056947062200000000\) | \([]\) | \(114566400\) | \(3.5689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.bk do not have complex multiplication.Modular form 405600.2.a.bk
sage: E.q_eigenform(10)