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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 98736.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.br1 | 98736cl1 | \([0, -1, 0, -4000, -96512]\) | \(-14284562281/78336\) | \(-38824574976\) | \([]\) | \(82944\) | \(0.87539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736.br do not have complex multiplication.Modular form 98736.2.a.br
sage: E.q_eigenform(10)