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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 37905.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37905.h1 | 37905v1 | \([1, 0, 0, -4323885, 3460303122]\) | \(-526401738615601/65625\) | \(-1114546324565625\) | \([]\) | \(684000\) | \(2.3053\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37905.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37905.h do not have complex multiplication.Modular form 37905.2.a.h
sage: E.q_eigenform(10)