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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 5184g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5184.m1 | 5184g1 | \([0, 0, 0, -3, -4]\) | \(-576\) | \(-5184\) | \([]\) | \(192\) | \(-0.59674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5184g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5184g do not have complex multiplication.Modular form 5184.2.a.g
sage: E.q_eigenform(10)