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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 43120p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43120.y1 | 43120p1 | \([0, -1, 0, -800, 8800]\) | \(11529602/275\) | \(1352243200\) | \([]\) | \(20736\) | \(0.53703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 43120p do not have complex multiplication.Modular form 43120.2.a.p
sage: E.q_eigenform(10)