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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 227850.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.p1 | 227850iq1 | \([1, 1, 0, 45545, 1411285]\) | \(3552243132335/2340421632\) | \(-6883706614579200\) | \([]\) | \(1669248\) | \(1.7278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850.p do not have complex multiplication.Modular form 227850.2.a.p
sage: E.q_eigenform(10)