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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 8670.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8670.b1 | 8670d1 | \([1, 1, 0, -1227533, -4727641827]\) | \(-29324621982169/1366875000000\) | \(-9534988452166875000000\) | \([]\) | \(514080\) | \(2.8975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8670.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8670.b do not have complex multiplication.Modular form 8670.2.a.b
sage: E.q_eigenform(10)