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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 69366.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.h1 | 69366g1 | \([1, 0, 1, -19, 38]\) | \(-702595369/277464\) | \(-277464\) | \([]\) | \(12168\) | \(-0.24655\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69366.h do not have complex multiplication.Modular form 69366.2.a.h
sage: E.q_eigenform(10)