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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 222180.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.h1 | 222180s1 | \([0, -1, 0, -1492485, -933010623]\) | \(-34668544/15435\) | \(-163691059349164112640\) | \([]\) | \(7789824\) | \(2.5856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180.h do not have complex multiplication.Modular form 222180.2.a.h
sage: E.q_eigenform(10)