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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 127050bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127050.ba1 | 127050bo1 | \([1, 1, 0, -1575, -472875]\) | \(-3025/672\) | \(-96081562500000\) | \([]\) | \(403200\) | \(1.3623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127050bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127050bo do not have complex multiplication.Modular form 127050.2.a.bo
sage: E.q_eigenform(10)