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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 13552t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13552.bc1 | 13552t1 | \([0, 0, 0, 3872, 21296]\) | \(884736/539\) | \(-3911153168384\) | \([]\) | \(34560\) | \(1.1054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13552t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13552t do not have complex multiplication.Modular form 13552.2.a.t
sage: E.q_eigenform(10)