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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 87362br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87362.w1 | 87362br1 | \([1, -1, 1, -1951995, -1075916949]\) | \(-81563625/2432\) | \(-24525996253384199552\) | \([]\) | \(5987520\) | \(2.4988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87362br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 87362br do not have complex multiplication.Modular form 87362.2.a.br
sage: E.q_eigenform(10)