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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 16560.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16560.bh1 | 16560s1 | \([0, 0, 0, -2532, -1463204]\) | \(-9619385344/4950372915\) | \(-923858394888960\) | \([]\) | \(49152\) | \(1.5507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16560.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16560.bh do not have complex multiplication.Modular form 16560.2.a.bh
sage: E.q_eigenform(10)