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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 8008.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8008.b1 | 8008c1 | \([0, 1, 0, 175, 67]\) | \(2302045184/1332331\) | \(-341076736\) | \([]\) | \(2944\) | \(0.32677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8008.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8008.b do not have complex multiplication.Modular form 8008.2.a.b
sage: E.q_eigenform(10)