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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 5520.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5520.t1 | 5520h1 | \([0, 1, 0, -281, 54099]\) | \(-9619385344/4950372915\) | \(-1267295466240\) | \([]\) | \(6144\) | \(1.0014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5520.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5520.t do not have complex multiplication.Modular form 5520.2.a.t
sage: E.q_eigenform(10)