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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 4650.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.bh1 | 4650y1 | \([1, 1, 1, -413, -3469]\) | \(-498677257/11904\) | \(-186000000\) | \([]\) | \(3024\) | \(0.37288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4650.bh do not have complex multiplication.Modular form 4650.2.a.bh
sage: E.q_eigenform(10)