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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2448b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2448.n1 | 2448b1 | \([0, 0, 0, 108, 108]\) | \(27648/17\) | \(-85660416\) | \([]\) | \(384\) | \(0.21131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2448b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2448b do not have complex multiplication.Modular form 2448.2.a.b
sage: E.q_eigenform(10)