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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 290145d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.d1 | 290145d1 | \([0, 1, 1, 24950, -2109236]\) | \(2887553024/4927635\) | \(-2931072215375835\) | \([]\) | \(2352000\) | \(1.6528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 290145d do not have complex multiplication.Modular form 290145.2.a.d
sage: E.q_eigenform(10)