Show commands:
SageMath
E = EllipticCurve("bbk1")
E.isogeny_class()
Elliptic curves in class 705600.bbk
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.bbk1 | \([0, 0, 0, -129942120, 582434483960]\) | \(-46028377077760/1162261467\) | \(-6127054359738244513459200\) | \([]\) | \(98058240\) | \(3.5403\) |
Rank
sage: E.rank()
The elliptic curve 705600.bbk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 705600.bbk do not have complex multiplication.Modular form 705600.2.a.bbk
sage: E.q_eigenform(10)