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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 51376ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.l1 | 51376ba1 | \([0, -1, 0, -46216824, 1123309048432]\) | \(-251347109804029/12403865550848\) | \(-538774669134823078372573184\) | \([]\) | \(13628160\) | \(3.8092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51376ba do not have complex multiplication.Modular form 51376.2.a.ba
sage: E.q_eigenform(10)