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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 51800.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 51800.d1 | 51800l1 | \([0, -1, 0, 9792, 666412]\) | \(5191150/12691\) | \(-253820000000000\) | \([]\) | \(123840\) | \(1.4479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51800.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51800.d do not have complex multiplication.Modular form 51800.2.a.d
sage: E.q_eigenform(10)