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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11858h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.k1 | 11858h1 | \([1, -1, 0, -2459, 85861]\) | \(-115538049/153664\) | \(-2187488328256\) | \([]\) | \(13824\) | \(1.0606\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858h do not have complex multiplication.Modular form 11858.2.a.h
sage: E.q_eigenform(10)