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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 238290bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 238290.bk1 | 238290bk1 | \([1, 1, 1, -70772725, -229249480933]\) | \(-8121969458732291369689/2284200000000000\) | \(-11025397117800000000000\) | \([]\) | \(32503680\) | \(3.2108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238290bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238290bk do not have complex multiplication.Modular form 238290.2.a.bk
sage: E.q_eigenform(10)