Properties

Label 308.a
Number of curves $1$
Conductor $308$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 308.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308.a1 308a1 \([0, -1, 0, -21, 49]\) \(-4194304/539\) \(-137984\) \([]\) \(24\) \(-0.28020\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 308.a do not have complex multiplication.

Modular form 308.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} + q^{11} - 4 q^{13} + q^{15} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display