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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 135240.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.h1 | 135240dt1 | \([0, -1, 0, 6844, 122676]\) | \(57671086256/44348715\) | \(-27259203767040\) | \([]\) | \(283392\) | \(1.2661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 135240.h do not have complex multiplication.Modular form 135240.2.a.h
sage: E.q_eigenform(10)