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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 249090.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.j1 | 249090j1 | \([1, 1, 0, 17682, -1919448]\) | \(12994449551/41611140\) | \(-1957632740714340\) | \([]\) | \(1728000\) | \(1.6174\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 249090.j do not have complex multiplication.Modular form 249090.2.a.j
sage: E.q_eigenform(10)