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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 92697d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92697.e1 | 92697d1 | \([1, 0, 1, -90904917, -352503298001]\) | \(-475036666993/32019867\) | \(-5599873541070169215744483\) | \([]\) | \(20514816\) | \(3.5004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92697d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92697d do not have complex multiplication.Modular form 92697.2.a.d
sage: E.q_eigenform(10)