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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 201810.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201810.h1 | 201810cr1 | \([1, 1, 0, -229218, 241624908]\) | \(-1500730351849/27572219640\) | \(-24470446423840494840\) | \([]\) | \(5806080\) | \(2.4014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201810.h do not have complex multiplication.Modular form 201810.2.a.h
sage: E.q_eigenform(10)