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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 233289.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
233289.a1 | 233289a1 | \([0, 0, 1, -22473507, 47851883266]\) | \(-98867482624/20696067\) | \(-262766868951365589234123\) | \([]\) | \(60825600\) | \(3.2155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 233289.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 233289.a do not have complex multiplication.Modular form 233289.2.a.a
sage: E.q_eigenform(10)