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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 162288.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.b1 | 162288ep1 | \([0, 0, 0, -147, -8575]\) | \(-256/23\) | \(-31561932528\) | \([]\) | \(172800\) | \(0.69420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288.b do not have complex multiplication.Modular form 162288.2.a.b
sage: E.q_eigenform(10)