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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 32340.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.p1 | 32340o1 | \([0, -1, 0, -24810, 478926225]\) | \(-373698304/21923067375\) | \(-99083582649550422000\) | \([]\) | \(846720\) | \(2.5158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340.p do not have complex multiplication.Modular form 32340.2.a.p
sage: E.q_eigenform(10)