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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 847.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
847.b1 | 847b1 | \([0, 0, 1, 242, -333]\) | \(884736/539\) | \(-954871379\) | \([]\) | \(480\) | \(0.41229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 847.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 847.b do not have complex multiplication.Modular form 847.2.a.b
sage: E.q_eigenform(10)