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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 249090.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.p1 | 249090p1 | \([1, 1, 0, -2171422, -1245938444]\) | \(-24067729389429361/305830080000\) | \(-14388045549900480000\) | \([]\) | \(8709120\) | \(2.4857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 249090.p do not have complex multiplication.Modular form 249090.2.a.p
sage: E.q_eigenform(10)