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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 13200br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13200.k1 | 13200br1 | \([0, -1, 0, -5208, -1091088]\) | \(-390625/12672\) | \(-506880000000000\) | \([]\) | \(40320\) | \(1.5020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13200br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13200br do not have complex multiplication.Modular form 13200.2.a.br
sage: E.q_eigenform(10)