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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 21160h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21160.g1 | 21160h1 | \([0, 1, 0, 1940, -44867]\) | \(340736/575\) | \(-1361930178800\) | \([]\) | \(16896\) | \(1.0133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21160h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21160h do not have complex multiplication.Modular form 21160.2.a.h
sage: E.q_eigenform(10)