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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 117600eg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.cp1 | 117600eg1 | \([0, -1, 0, -16333, -803963]\) | \(-3136000/27\) | \(-4148928000000\) | \([]\) | \(248832\) | \(1.2461\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600eg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117600eg do not have complex multiplication.Modular form 117600.2.a.eg
sage: E.q_eigenform(10)