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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 112710.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.t1 | 112710u1 | \([1, 1, 0, -505322, 557011884]\) | \(-2045682844201/18044839800\) | \(-125876425506502951800\) | \([]\) | \(4773600\) | \(2.5394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.t do not have complex multiplication.Modular form 112710.2.a.t
sage: E.q_eigenform(10)