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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 303450cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.cg1 | 303450cg1 | \([1, 0, 1, -33386, 2488988]\) | \(-1970890451905/144027072\) | \(-300732127012800\) | \([]\) | \(1492992\) | \(1.5274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450cg do not have complex multiplication.Modular form 303450.2.a.cg
sage: E.q_eigenform(10)