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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 5390.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5390.t1 | 5390k1 | \([1, -1, 0, -1969, -3025]\) | \(351716516361/201313750\) | \(483354313750\) | \([]\) | \(16320\) | \(0.93172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5390.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5390.t do not have complex multiplication.Modular form 5390.2.a.t
sage: E.q_eigenform(10)