Properties

Label 248430.fh
Number of curves $1$
Conductor $248430$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fh1")
 
E.isogeny_class()
 

Elliptic curves in class 248430.fh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248430.fh1 248430fh1 \([1, 0, 1, -24760363, -54555343594]\) \(-1231272543361/230400000\) \(-314139818684261606400000\) \([]\) \(44815680\) \(3.2330\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248430.fh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 248430.fh do not have complex multiplication.

Modular form 248430.2.a.fh

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} + q^{9} - q^{10} + 5 q^{11} + q^{12} + q^{15} + q^{16} + 4 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display