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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 116886.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.f1 | 116886c1 | \([1, 1, 0, -74417, 7809333]\) | \(-25727239787761/101406816\) | \(-179648360359776\) | \([]\) | \(518400\) | \(1.5927\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886.f do not have complex multiplication.Modular form 116886.2.a.f
sage: E.q_eigenform(10)