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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 4620.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4620.g1 | 4620g1 | \([0, -1, 0, 6155, -6092975]\) | \(100715742101504/62663434246875\) | \(-16041839167200000\) | \([]\) | \(30240\) | \(1.7885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4620.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4620.g do not have complex multiplication.Modular form 4620.2.a.g
sage: E.q_eigenform(10)