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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 43350bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.bc1 | 43350bm1 | \([1, 0, 1, 16537874, 132806063648]\) | \(4589352212399/72559411200\) | \(-7908700821765292800000000\) | \([]\) | \(9047808\) | \(3.4581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350bm do not have complex multiplication.Modular form 43350.2.a.bm
sage: E.q_eigenform(10)