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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 284592t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.t1 | 284592t1 | \([0, -1, 0, 11239408, -34592478864]\) | \(50250332/194481\) | \(-607704185118189826630656\) | \([]\) | \(32440320\) | \(3.2464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 284592t do not have complex multiplication.Modular form 284592.2.a.t
sage: E.q_eigenform(10)