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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 179088i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.bw1 | 179088i1 | \([0, 1, 0, 247312, -3062700]\) | \(408411137424575375/237392322963978\) | \(-972358954860453888\) | \([]\) | \(2807040\) | \(2.1410\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179088i do not have complex multiplication.Modular form 179088.2.a.i
sage: E.q_eigenform(10)