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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 7406h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7406.h1 | 7406h1 | \([1, 1, 1, 18504, -437639]\) | \(8947391/6272\) | \(-491166499682432\) | \([]\) | \(46368\) | \(1.5075\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7406h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7406h do not have complex multiplication.Modular form 7406.2.a.h
sage: E.q_eigenform(10)