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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 433200f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.f1 | 433200f1 | \([0, -1, 0, -2105833, 1407432037]\) | \(-8780800/2187\) | \(-257223354367500000000\) | \([]\) | \(24131520\) | \(2.6343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200f do not have complex multiplication.Modular form 433200.2.a.f
sage: E.q_eigenform(10)