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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 237160g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
237160.g1 | 237160g1 | \([0, 1, 0, -1424936, -762005840]\) | \(-15298178/3125\) | \(-65361258395910400000\) | \([]\) | \(7207200\) | \(2.5245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 237160g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 237160g do not have complex multiplication.Modular form 237160.2.a.g
sage: E.q_eigenform(10)