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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 100026.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100026.a1 | 100026b1 | \([1, -1, 0, 380495349, 3705099956613]\) | \(8356881438253882869174959183/12971548215548035842654144\) | \(-9456258649134518129294870976\) | \([]\) | \(77192832\) | \(4.0533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100026.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100026.a do not have complex multiplication.Modular form 100026.2.a.a
sage: E.q_eigenform(10)