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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 18207a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18207.b1 | 18207a1 | \([0, 0, 1, -13872, 2320164]\) | \(-16777216/122451\) | \(-2154683037520251\) | \([]\) | \(73728\) | \(1.6253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18207a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 18207a do not have complex multiplication.Modular form 18207.2.a.a
sage: E.q_eigenform(10)