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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 193600.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.b1 | 193600fr1 | \([0, 0, 0, -2262700, -2840354000]\) | \(-1459161/3125\) | \(-2743793676800000000000\) | \([]\) | \(16220160\) | \(2.8026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193600.b do not have complex multiplication.Modular form 193600.2.a.b
sage: E.q_eigenform(10)