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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 344760.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.cg1 | 344760cg1 | \([0, 1, 0, 2440, -3600]\) | \(4639792222/2709375\) | \(-937747200000\) | \([]\) | \(376320\) | \(0.98665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.cg do not have complex multiplication.Modular form 344760.2.a.cg
sage: E.q_eigenform(10)