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SageMath
E = EllipticCurve("pe1")
E.isogeny_class()
Elliptic curves in class 310464.pe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.pe1 | 310464pe1 | \([0, 0, 0, 756, 160272]\) | \(189/44\) | \(-11124486438912\) | \([]\) | \(552960\) | \(1.1825\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.pe1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.pe do not have complex multiplication.Modular form 310464.2.a.pe
sage: E.q_eigenform(10)