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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 48300r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48300.s1 | 48300r1 | \([0, 1, 0, -28133, -1828137]\) | \(-615640662016/978075\) | \(-3912300000000\) | \([]\) | \(126720\) | \(1.3142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48300r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48300r do not have complex multiplication.Modular form 48300.2.a.r
sage: E.q_eigenform(10)