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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 30064.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30064.d1 | 30064e1 | \([0, 0, 0, -443, -136726]\) | \(-2347334289/1970274304\) | \(-8070243549184\) | \([]\) | \(28800\) | \(1.1556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30064.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30064.d do not have complex multiplication.Modular form 30064.2.a.d
sage: E.q_eigenform(10)