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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 471510j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.j1 | 471510j1 | \([1, -1, 0, -245038455, 1480006153575]\) | \(-462422340525417209209/1292244765581250\) | \(-4547078206573930976081250\) | \([]\) | \(129024000\) | \(3.6039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510j do not have complex multiplication.Modular form 471510.2.a.j
sage: E.q_eigenform(10)