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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 412224h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.h1 | 412224h1 | \([0, -1, 0, -19464929, 33318272385]\) | \(-3111302831921821954873/28165508381540352\) | \(-7383419029170514034688\) | \([]\) | \(31104000\) | \(3.0191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 412224h do not have complex multiplication.Modular form 412224.2.a.h
sage: E.q_eigenform(10)