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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 230384.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230384.bk1 | 230384bk1 | \([0, 0, 0, -9096659, 59735500946]\) | \(-11472376678929153/205799139629776\) | \(-1493343148448422298976256\) | \([]\) | \(35481600\) | \(3.3197\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230384.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230384.bk do not have complex multiplication.Modular form 230384.2.a.bk
sage: E.q_eigenform(10)