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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 106470bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106470.c1 | 106470bk1 | \([1, -1, 0, -58590, -5444204]\) | \(-180544450042489/7620480\) | \(-938850756480\) | \([]\) | \(376320\) | \(1.3774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106470bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106470bk do not have complex multiplication.Modular form 106470.2.a.bk
sage: E.q_eigenform(10)