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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 40768p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40768.cv1 | 40768p1 | \([0, 1, 0, -3201, 71903]\) | \(-235298/13\) | \(-200466366464\) | \([]\) | \(29952\) | \(0.92650\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40768p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40768p do not have complex multiplication.Modular form 40768.2.a.p
sage: E.q_eigenform(10)