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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 234416p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.p1 | 234416p1 | \([0, -1, 0, -4181, 2911609]\) | \(-268435456/121324931\) | \(-3654081742648064\) | \([]\) | \(774144\) | \(1.6653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416p do not have complex multiplication.Modular form 234416.2.a.p
sage: E.q_eigenform(10)