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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 302330bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.bk1 | 302330bk1 | \([1, 0, 0, -106296, -13620160]\) | \(-2710682508977520721/64697139200000\) | \(-3170159820800000\) | \([]\) | \(1572000\) | \(1.7605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330bk do not have complex multiplication.Modular form 302330.2.a.bk
sage: E.q_eigenform(10)