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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 29760.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29760.bk1 | 29760by1 | \([0, -1, 0, -13025, 650625]\) | \(-932288503609/148800000\) | \(-39007027200000\) | \([]\) | \(69120\) | \(1.3360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29760.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29760.bk do not have complex multiplication.Modular form 29760.2.a.bk
sage: E.q_eigenform(10)