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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2093.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2093.b1 | 2093i1 | \([0, -1, 1, 0, -6]\) | \(-4096/14651\) | \(-14651\) | \([]\) | \(192\) | \(-0.52170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2093.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2093.b do not have complex multiplication.Modular form 2093.2.a.b
sage: E.q_eigenform(10)