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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 238260.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.h1 | 238260h1 | \([0, -1, 0, -1346650, -1093344923]\) | \(-2753165056/3675375\) | \(-360543482356245606000\) | \([]\) | \(11080800\) | \(2.6373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238260.h do not have complex multiplication.Modular form 238260.2.a.h
sage: E.q_eigenform(10)