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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 151725.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151725.dg1 | 151725dd1 | \([0, 1, 1, -1924258, 1024327519]\) | \(7229403136/19845\) | \(2163029787760078125\) | \([]\) | \(5170176\) | \(2.3913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725.dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 151725.dg do not have complex multiplication.Modular form 151725.2.a.dg
sage: E.q_eigenform(10)