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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 75810.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.a1 | 75810g1 | \([1, 1, 0, -150563, 22330917]\) | \(1045624609074291409/5003023725000\) | \(1806091564725000\) | \([]\) | \(604800\) | \(1.7765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810.a do not have complex multiplication.Modular form 75810.2.a.a
sage: E.q_eigenform(10)