Properties

Label 378.f
Number of curves $1$
Conductor $378$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 378.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
378.f1 378c1 \([1, -1, 1, -2, -107]\) \(-3/28\) \(-4960116\) \([]\) \(72\) \(-0.036342\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 378.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 378.f do not have complex multiplication.

Modular form 378.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - q^{7} + q^{8} + q^{10} + 5 q^{11} - q^{14} + q^{16} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display