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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 11760d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11760.l1 | 11760d1 | \([0, -1, 0, 8384, 9309280]\) | \(649381163998/373669453125\) | \(-37498476960000000\) | \([]\) | \(94080\) | \(1.8593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11760d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11760d do not have complex multiplication.Modular form 11760.2.a.d
sage: E.q_eigenform(10)