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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 176400.bm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.bm1 | 176400cu1 | \([0, 0, 0, 17107125, -110310943750]\) | \(16468459/165888\) | \(-5577207549935616000000000\) | \([]\) | \(28385280\) | \(3.4295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.bm do not have complex multiplication.Modular form 176400.2.a.bm
sage: E.q_eigenform(10)