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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 16245.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16245.b1 | 16245i1 | \([0, 0, 1, -20577, 32580]\) | \(77824/45\) | \(557145785560005\) | \([]\) | \(109440\) | \(1.5190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16245.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16245.b do not have complex multiplication.Modular form 16245.2.a.b
sage: E.q_eigenform(10)