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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 279174l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.l1 | 279174l1 | \([1, 1, 0, -9432, 354942]\) | \(-321150933428329/6664133574\) | \(-1925934602886\) | \([]\) | \(587520\) | \(1.1484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174l do not have complex multiplication.Modular form 279174.2.a.l
sage: E.q_eigenform(10)