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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 5400.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5400.br1 | 5400bf1 | \([0, 0, 0, -41175, 3351375]\) | \(-1568892672/78125\) | \(-384433593750000\) | \([]\) | \(24192\) | \(1.5597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5400.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5400.br do not have complex multiplication.Modular form 5400.2.a.br
sage: E.q_eigenform(10)