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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 127050i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127050.f1 | 127050i1 | \([1, 1, 0, -1575, 8602125]\) | \(-25/1848\) | \(-31971139921875000\) | \([]\) | \(1209600\) | \(1.8459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127050i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 127050i do not have complex multiplication.Modular form 127050.2.a.i
sage: E.q_eigenform(10)