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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 254100.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.dg1 | 254100dg1 | \([0, 1, 0, -1118, -14907]\) | \(-639178496/7203\) | \(-1743126000\) | \([]\) | \(147456\) | \(0.58755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100.dg do not have complex multiplication.Modular form 254100.2.a.dg
sage: E.q_eigenform(10)