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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 379050.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.q1 | 379050q1 | \([1, 1, 0, 1303925, 11562478375]\) | \(389017/91854\) | \(-57890929280844269531250\) | \([]\) | \(35993600\) | \(3.0469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.q do not have complex multiplication.Modular form 379050.2.a.q
sage: E.q_eigenform(10)