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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 30800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30800.a1 | 30800bl1 | \([0, 0, 0, 800, -2000]\) | \(884736/539\) | \(-34496000000\) | \([]\) | \(40320\) | \(0.71121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30800.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30800.a do not have complex multiplication.Modular form 30800.2.a.a
sage: E.q_eigenform(10)