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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 104742.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104742.i1 | 104742z1 | \([1, -1, 0, 10788327, 15502654341]\) | \(105756712489/140300424\) | \(-184220109445058785667448\) | \([]\) | \(12400128\) | \(3.1500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104742.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 104742.i do not have complex multiplication.Modular form 104742.2.a.i
sage: E.q_eigenform(10)