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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 47190.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 47190.d1 | 47190d1 | \([1, 1, 0, -1333, 165037]\) | \(-17912342569/798720000\) | \(-11694059520000\) | \([]\) | \(126720\) | \(1.1876\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47190.d do not have complex multiplication.Modular form 47190.2.a.d
sage: E.q_eigenform(10)