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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 127050bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127050.u1 | 127050bw1 | \([1, 1, 0, 13550, 23651500]\) | \(397535/349272\) | \(-241701817809375000\) | \([]\) | \(2073600\) | \(2.0146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127050bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127050bw do not have complex multiplication.Modular form 127050.2.a.bw
sage: E.q_eigenform(10)