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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 19950dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.cw1 | 19950dd1 | \([1, 0, 0, -847013, 299974017]\) | \(-172041783999846385/1179967488\) | \(-460924800000000\) | \([]\) | \(262080\) | \(1.9944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19950dd do not have complex multiplication.Modular form 19950.2.a.dd
sage: E.q_eigenform(10)