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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 66248d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.o1 | 66248d1 | \([0, 0, 0, -563108, 177842756]\) | \(-135834624/15379\) | \(-2235714874147465984\) | \([]\) | \(774144\) | \(2.2578\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 66248d do not have complex multiplication.Modular form 66248.2.a.d
sage: E.q_eigenform(10)