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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 281775.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.g1 | 281775g1 | \([0, 1, 1, -364508, 82308644]\) | \(1186118904991744/36374479245\) | \(164253507840703125\) | \([]\) | \(5087232\) | \(2.0791\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 281775.g do not have complex multiplication.Modular form 281775.2.a.g
sage: E.q_eigenform(10)