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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 190608br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.q1 | 190608br1 | \([0, -1, 0, -65328, -15669312]\) | \(-20852652111625/59864589312\) | \(-88519134173724672\) | \([]\) | \(1451520\) | \(1.9389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190608br do not have complex multiplication.Modular form 190608.2.a.br
sage: E.q_eigenform(10)