Properties

Label 355740m
Number of curves $1$
Conductor $355740$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 355740m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.m1 355740m1 \([0, -1, 0, -19478741, 29165289441]\) \(234881024/30375\) \(105699939433822442016000\) \([]\) \(31933440\) \(3.1465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 355740m do not have complex multiplication.

Modular form 355740.2.a.m

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