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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 119952.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.p1 | 119952cv1 | \([0, 0, 0, -819, -8974]\) | \(11211291/68\) | \(368492544\) | \([]\) | \(73728\) | \(0.48271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.p do not have complex multiplication.Modular form 119952.2.a.p
sage: E.q_eigenform(10)