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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 5600.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5600.g1 | 5600r1 | \([0, -1, 0, -7533, 254437]\) | \(-738763264/875\) | \(-56000000000\) | \([]\) | \(4608\) | \(0.97394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5600.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5600.g do not have complex multiplication.Modular form 5600.2.a.g
sage: E.q_eigenform(10)