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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 13552f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13552.r1 | 13552f1 | \([0, 1, 0, -161, 261611]\) | \(-1024/65219\) | \(-29578095835904\) | \([]\) | \(23040\) | \(1.2637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13552f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13552f do not have complex multiplication.Modular form 13552.2.a.f
sage: E.q_eigenform(10)