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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 379050.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.a1 | 379050a1 | \([1, 1, 0, -24802659178775, -47543984677140376875]\) | \(-334669406963386806593721825931/888017186570895360\) | \(-4477378461292920926329896960000000\) | \([]\) | \(22279795200\) | \(6.1179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.a do not have complex multiplication.Modular form 379050.2.a.a
sage: E.q_eigenform(10)