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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 344760.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.p1 | 344760p1 | \([0, -1, 0, 6388144, 1204577100]\) | \(17257225155742/10363359375\) | \(-17313199339419360000000\) | \([]\) | \(22014720\) | \(2.9564\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.p do not have complex multiplication.Modular form 344760.2.a.p
sage: E.q_eigenform(10)