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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 66270.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66270.b1 | 66270b1 | \([1, 1, 0, -2126208, -619357248]\) | \(44643518089/18895680\) | \(449930453148904092480\) | \([]\) | \(3248640\) | \(2.6597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66270.b do not have complex multiplication.Modular form 66270.2.a.b
sage: E.q_eigenform(10)