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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 6048r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6048.d1 | 6048r1 | \([0, 0, 0, -24, -16]\) | \(13824/7\) | \(774144\) | \([]\) | \(768\) | \(-0.17752\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6048r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6048r do not have complex multiplication.Modular form 6048.2.a.r
sage: E.q_eigenform(10)