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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 129430t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129430.o1 | 129430t1 | \([1, 1, 1, -116918780, -511580988675]\) | \(-27961843710799634329/1700500998980000\) | \(-10749484179739758690020000\) | \([]\) | \(26019840\) | \(3.5579\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129430t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129430t do not have complex multiplication.Modular form 129430.2.a.t
sage: E.q_eigenform(10)