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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 142956t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.ba1 | 142956t1 | \([0, 0, 0, -161138487, -787285060162]\) | \(145990721706064/5845851\) | \(18528661320031236489984\) | \([]\) | \(14971392\) | \(3.3557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142956t do not have complex multiplication.Modular form 142956.2.a.t
sage: E.q_eigenform(10)