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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 296208.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.t1 | 296208t1 | \([0, 0, 0, -14909499, 22159087434]\) | \(-16768130355156114/410338673\) | \(-8969550325361657856\) | \([]\) | \(13332480\) | \(2.7464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 296208.t do not have complex multiplication.Modular form 296208.2.a.t
sage: E.q_eigenform(10)