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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 4010.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4010.b1 | 4010a1 | \([1, 1, 0, -28, -72]\) | \(-2565726409/80200\) | \(-80200\) | \([]\) | \(528\) | \(-0.28235\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4010.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4010.b do not have complex multiplication.Modular form 4010.2.a.b
sage: E.q_eigenform(10)