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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 21780h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21780.g1 | 21780h1 | \([0, 0, 0, 627, -149303]\) | \(19314944/6834375\) | \(-9645654150000\) | \([]\) | \(40320\) | \(1.1706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21780h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21780h do not have complex multiplication.Modular form 21780.2.a.h
sage: E.q_eigenform(10)