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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 54080.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.d1 | 54080dh1 | \([0, 0, 0, -52, -104]\) | \(89856/25\) | \(4326400\) | \([]\) | \(18432\) | \(-0.019378\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54080.d do not have complex multiplication.Modular form 54080.2.a.d
sage: E.q_eigenform(10)