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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 133200eg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.v1 | 133200eg1 | \([0, 0, 0, -92475, 10982250]\) | \(-69426531/1184\) | \(-1491499008000000\) | \([]\) | \(737280\) | \(1.7100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200eg1 has rank \(2\).
Complex multiplication
The elliptic curves in class 133200eg do not have complex multiplication.Modular form 133200.2.a.eg
sage: E.q_eigenform(10)