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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 273.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273.b1 | 273b1 | \([0, 1, 1, 2540, -157433]\) | \(1811564780171264/11870974573731\) | \(-11870974573731\) | \([]\) | \(672\) | \(1.1905\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273.b do not have complex multiplication.Modular form 273.2.a.b
sage: E.q_eigenform(10)