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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 450800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.a1 | 450800a1 | \([0, 0, 0, 153125, -170213750]\) | \(2109375/67712\) | \(-12745998540800000000\) | \([]\) | \(17418240\) | \(2.3460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.a do not have complex multiplication.Modular form 450800.2.a.a
sage: E.q_eigenform(10)