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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 176610.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176610.i1 | 176610dh1 | \([1, 1, 0, -26903607, 58984752789]\) | \(-4304981456364121/514382400000\) | \(-257317950490270286400000\) | \([]\) | \(40089600\) | \(3.2275\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176610.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176610.i do not have complex multiplication.Modular form 176610.2.a.i
sage: E.q_eigenform(10)