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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 189618i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.bq1 | 189618i1 | \([1, 0, 0, -943108, 357389330]\) | \(-672937149625/10996722\) | \(-1515991510202718978\) | \([]\) | \(3744000\) | \(2.2886\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 189618i do not have complex multiplication.Modular form 189618.2.a.i
sage: E.q_eigenform(10)