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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 93138.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93138.t1 | 93138r1 | \([1, 0, 1, -15928772, -24471071818]\) | \(-9500554530751882177/199908972324\) | \(-9404893722787197444\) | \([]\) | \(5458320\) | \(2.7586\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93138.t do not have complex multiplication.Modular form 93138.2.a.t
sage: E.q_eigenform(10)