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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 51376.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.t1 | 51376m1 | \([0, 1, 0, -2706760, -1799597708]\) | \(-110931033861649/6497214464\) | \(-128453891071038980096\) | \([]\) | \(1257984\) | \(2.6145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 51376.t do not have complex multiplication.Modular form 51376.2.a.t
sage: E.q_eigenform(10)