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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 152100.dg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 152100.dg1 | 152100o1 | \([0, 0, 0, -2304822000, 43312564262500]\) | \(-769623354048512/15247889631\) | \(-26826708253748921095500000000\) | \([]\) | \(112896000\) | \(4.2478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152100.dg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152100.dg do not have complex multiplication.Modular form 152100.2.a.dg
sage: E.q_eigenform(10)