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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 145200.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.h1 | 145200jo1 | \([0, -1, 0, 1934992, 1706677887]\) | \(218902267299584/470715894135\) | \(-1722937851507633750000\) | \([]\) | \(7418880\) | \(2.7591\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145200.h do not have complex multiplication.Modular form 145200.2.a.h
sage: E.q_eigenform(10)