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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 209484br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209484.bk1 | 209484br1 | \([0, 0, 0, -328509, -68001363]\) | \(158976/11\) | \(271285541698322448\) | \([]\) | \(2225664\) | \(2.0932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209484br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 209484br do not have complex multiplication.Modular form 209484.2.a.br
sage: E.q_eigenform(10)