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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 112710.da
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 112710.da1 | 112710cy1 | \([1, 0, 0, -6760609085, -213977271288975]\) | \(-16950869189311243954609/1791373816627200\) | \(-3611398687744480617745612800\) | \([]\) | \(156647520\) | \(4.3192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.da do not have complex multiplication.Modular form 112710.2.a.da
sage: E.q_eigenform(10)