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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 30345d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30345.s1 | 30345d1 | \([1, 1, 0, -166083248, -823898033163]\) | \(-72628961394279272329/24608375505\) | \(-171662058539925882705\) | \([]\) | \(3414960\) | \(3.2398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30345d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30345d do not have complex multiplication.Modular form 30345.2.a.d
sage: E.q_eigenform(10)