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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 10780.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10780.d1 | 10780m1 | \([0, 1, 0, -17408050, -29396334927]\) | \(-129084391106508544/7863818359375\) | \(-35541344786483593750000\) | \([]\) | \(720720\) | \(3.0819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10780.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10780.d do not have complex multiplication.Modular form 10780.2.a.d
sage: E.q_eigenform(10)