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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 34914p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.p1 | 34914p1 | \([1, 0, 1, -97083, -10295810]\) | \(56181887/7128\) | \(12838616170908264\) | \([]\) | \(211968\) | \(1.8201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914p do not have complex multiplication.Modular form 34914.2.a.p
sage: E.q_eigenform(10)