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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 160016.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160016.b1 | 160016e1 | \([0, 0, 0, -251, 1546]\) | \(-853915554/10001\) | \(-20482048\) | \([]\) | \(39296\) | \(0.21572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160016.b1 has rank \(3\).
Complex multiplication
The elliptic curves in class 160016.b do not have complex multiplication.Modular form 160016.2.a.b
sage: E.q_eigenform(10)