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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 86394.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.h1 | 86394m1 | \([1, 1, 0, -2877261, 2069553501]\) | \(-12289104689575417/1529937859968\) | \(-327955767662275175808\) | \([]\) | \(5322240\) | \(2.6710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86394.h do not have complex multiplication.Modular form 86394.2.a.h
sage: E.q_eigenform(10)