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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 44400.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.g1 | 44400bb1 | \([0, -1, 0, -13333, 1947037]\) | \(-6553600/36963\) | \(-1478520000000000\) | \([]\) | \(207360\) | \(1.5948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44400.g do not have complex multiplication.Modular form 44400.2.a.g
sage: E.q_eigenform(10)