Properties

Label 4312.l
Number of curves $1$
Conductor $4312$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 4312.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4312.l1 4312f1 \([0, 0, 0, -196, -1372]\) \(-27648/11\) \(-331299584\) \([]\) \(2880\) \(0.34374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4312.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4312.l do not have complex multiplication.

Modular form 4312.2.a.l

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