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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 71148.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.b1 | 71148c1 | \([0, -1, 0, 21740, -2930024]\) | \(784/3\) | \(-4347980087877888\) | \([]\) | \(608256\) | \(1.6835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148.b do not have complex multiplication.Modular form 71148.2.a.b
sage: E.q_eigenform(10)