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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 77616.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77616.d1 | 77616ft1 | \([0, 0, 0, -90027, 10396890]\) | \(551516475321/5632\) | \(824036032512\) | \([]\) | \(290304\) | \(1.4447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616.d do not have complex multiplication.Modular form 77616.2.a.d
sage: E.q_eigenform(10)