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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 422331.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.p1 | 422331p1 | \([1, 1, 1, 1602, 117060]\) | \(11375/153\) | \(-6115533215337\) | \([]\) | \(711360\) | \(1.1342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331.p do not have complex multiplication.Modular form 422331.2.a.p
sage: E.q_eigenform(10)