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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 369600.ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.ee1 | 369600ee1 | \([0, -1, 0, -33, 8187]\) | \(-4096/28875\) | \(-28875000000\) | \([]\) | \(276480\) | \(0.68611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.ee1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.ee do not have complex multiplication.Modular form 369600.2.a.ee
sage: E.q_eigenform(10)