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SageMath
E = EllipticCurve("tn1")
E.isogeny_class()
Elliptic curves in class 235200.tn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.tn1 | 235200tn1 | \([0, 1, 0, -4083, -102537]\) | \(-3136000/27\) | \(-64827000000\) | \([]\) | \(248832\) | \(0.89958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.tn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.tn do not have complex multiplication.Modular form 235200.2.a.tn
sage: E.q_eigenform(10)