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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1110j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1110.j1 | 1110j1 | \([1, 1, 1, -130, 527]\) | \(-243087455521/5328000\) | \(-5328000\) | \([]\) | \(336\) | \(0.079896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1110j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1110j do not have complex multiplication.Modular form 1110.2.a.j
sage: E.q_eigenform(10)