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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 75150.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.p1 | 75150a1 | \([1, -1, 0, -2112, -36864]\) | \(-1543893517395/1368064\) | \(-923443200\) | \([]\) | \(49920\) | \(0.64551\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150.p do not have complex multiplication.Modular form 75150.2.a.p
sage: E.q_eigenform(10)