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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 77616.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77616.bk1 | 77616cu1 | \([0, 0, 0, -434091, -110111526]\) | \(-34068278205171/10307264\) | \(-2736902157631488\) | \([]\) | \(483840\) | \(1.9397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616.bk do not have complex multiplication.Modular form 77616.2.a.bk
sage: E.q_eigenform(10)