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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 119952br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.w1 | 119952br1 | \([0, 0, 0, 861, -11774]\) | \(964894/1377\) | \(-100736649216\) | \([]\) | \(98304\) | \(0.79688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952br do not have complex multiplication.Modular form 119952.2.a.br
sage: E.q_eigenform(10)