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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 3450.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3450.h1 | 3450k1 | \([1, 0, 1, -71, 218]\) | \(1551443665/29808\) | \(745200\) | \([]\) | \(768\) | \(-0.080201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3450.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3450.h do not have complex multiplication.Modular form 3450.2.a.h
sage: E.q_eigenform(10)