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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 13520d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13520.r1 | 13520d1 | \([0, 1, 0, -56, -181]\) | \(7311616/25\) | \(67600\) | \([]\) | \(1536\) | \(-0.20972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13520d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13520d do not have complex multiplication.Modular form 13520.2.a.d
sage: E.q_eigenform(10)