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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 28322.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.t1 | 28322x1 | \([1, 1, 1, -9458, 294783]\) | \(2751936625/458752\) | \(15597825359872\) | \([]\) | \(55296\) | \(1.2527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28322.t do not have complex multiplication.Modular form 28322.2.a.t
sage: E.q_eigenform(10)