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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 14994.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.t1 | 14994n1 | \([1, -1, 0, 82916370, -3707085852716]\) | \(15001431500460925919/1421324083670155776\) | \(-5973171213673166514289979904\) | \([]\) | \(10644480\) | \(4.0092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14994.t do not have complex multiplication.Modular form 14994.2.a.t
sage: E.q_eigenform(10)