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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 327990h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.h1 | 327990h1 | \([1, 1, 0, -2514607, -1535136149]\) | \(3515202588121/1901250\) | \(951093492642101250\) | \([]\) | \(8686080\) | \(2.3986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990h do not have complex multiplication.Modular form 327990.2.a.h
sage: E.q_eigenform(10)