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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 83509b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83509.b1 | 83509b1 | \([1, 0, 1, -2767, 58923]\) | \(-912673/61\) | \(-156509310949\) | \([]\) | \(99360\) | \(0.90000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83509b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83509b do not have complex multiplication.Modular form 83509.2.a.b
sage: E.q_eigenform(10)