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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 363726h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.h1 | 363726h1 | \([1, -1, 0, -554868, -159899184]\) | \(-14628828571993/101578752\) | \(-131185704538994688\) | \([]\) | \(5068800\) | \(2.1184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363726h do not have complex multiplication.Modular form 363726.2.a.h
sage: E.q_eigenform(10)