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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 142296bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142296.be1 | 142296bk1 | \([0, -1, 0, -7905, 230133]\) | \(123904/21\) | \(9260154672384\) | \([]\) | \(258048\) | \(1.2088\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296bk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 142296bk do not have complex multiplication.Modular form 142296.2.a.bk
sage: E.q_eigenform(10)