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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 92778b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92778.c1 | 92778b1 | \([1, 1, 0, 7686, 55188]\) | \(10288335767/6193152\) | \(-30220606144512\) | \([]\) | \(241920\) | \(1.2759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92778b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92778b do not have complex multiplication.Modular form 92778.2.a.b
sage: E.q_eigenform(10)