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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 13552.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13552.g1 | 13552j1 | \([0, -1, 0, 241355, 77200169]\) | \(2575826944/5764801\) | \(-3479833396998269696\) | \([]\) | \(152064\) | \(2.2419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13552.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13552.g do not have complex multiplication.Modular form 13552.2.a.g
sage: E.q_eigenform(10)