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SageMath
E = EllipticCurve("il1")
E.isogeny_class()
Elliptic curves in class 379050.il
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.il1 | 379050il1 | \([1, 0, 0, 3612, -1685358]\) | \(389017/91854\) | \(-1230520675781250\) | \([]\) | \(1894400\) | \(1.5747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.il1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.il do not have complex multiplication.Modular form 379050.2.a.il
sage: E.q_eigenform(10)